Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110o |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
511632000 |
Modular degree for the optimal curve |
Δ |
-1.8875553017063E+33 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26470778845,1273362805858325] |
[a1,a2,a3,a4,a6] |
Generators |
[230110176252744319144100358453832816532275124879115612684734923204094083030537020368966525445878357102640533104350119424467204318583194716804:2295996655443582269221007539954144352104378949437841992203834302422224329156526562227508344653607590324790013405141854584305276091710511797491921:2311120580816735240224696651604957555469295010979558331733313732508370025600249222682454037720650557447829502493182678125779147902784] |
Generators of the group modulo torsion |
j |
79085528191926022561081551/72773428000000000000000 |
j-invariant |
L |
4.2731948314229 |
L(r)(E,1)/r! |
Ω |
0.0096840661331599 |
Real period |
R |
220.63019668932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110bw1 |
Quadratic twists by: -11 |