Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030m |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-1.1825038776139E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-876949,611187872] |
[a1,a2,a3,a4,a6] |
Generators |
[1006:-27841:1] |
Generators of the group modulo torsion |
j |
-74584058493065152674889/118250387761385880000 |
j-invariant |
L |
4.5191717251928 |
L(r)(E,1)/r! |
Ω |
0.16735377895747 |
Real period |
R |
0.67509257235555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090dw1 |
Quadratic twists by: -3 |