Atkin-Lehner |
2- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
35350t |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
2884842800000000 = 210 · 58 · 7 · 1013 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -5 -6 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-120430,15907197] |
[a1,a2,a3,a4,a6] |
Generators |
[225:291:1] [-231:5715:1] |
Generators of the group modulo torsion |
j |
494497790780625/7385197568 |
j-invariant |
L |
11.438227893775 |
L(r)(E,1)/r! |
Ω |
0.45318519345278 |
Real period |
R |
0.28044036495027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35350k1 |
Quadratic twists by: 5 |