Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350cs |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
62899200 |
Modular degree for the optimal curve |
Δ |
4.6967477656569E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14724436138,-687717375430219] |
[a1,a2,a3,a4,a6] |
Generators |
[-1769460863489910:891711285904153:25256916504] |
Generators of the group modulo torsion |
j |
903815314284486548828394761665/120236742800816418 |
j-invariant |
L |
8.7910684109261 |
L(r)(E,1)/r! |
Ω |
0.013705342290054 |
Real period |
R |
13.363202077329 |
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 |
70350u1 |
Quadratic twists by: 5 |