Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35378l |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1666224 |
Modular degree for the optimal curve |
Δ |
1.9189744795655E+19 |
Discriminant |
Eigenvalues |
2- -3 2 7- 1 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1029279,342492483] |
[a1,a2,a3,a4,a6] |
Generators |
[227658:1008999685:54872] |
Generators of the group modulo torsion |
j |
25137/4 |
j-invariant |
L |
5.9065669770332 |
L(r)(E,1)/r! |
Ω |
0.20767869671252 |
Real period |
R |
14.220445020438 |
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 |
35378i1 35378h1 |
Quadratic twists by: -7 -19 |