Atkin-Lehner |
2+ 3+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090c |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-402896894400 = -1 · 26 · 33 · 52 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4800,132800] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-312:1] |
Generators of the group modulo torsion |
j |
-453037918233627/14922107200 |
j-invariant |
L |
4.5114046788624 |
L(r)(E,1)/r! |
Ω |
0.94251936698197 |
Real period |
R |
0.29915861927675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090ck1 |
Quadratic twists by: -3 |