Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784o |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-32992275456 = -1 · 210 · 33 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 1 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40179,-3099906] |
[a1,a2,a3,a4,a6] |
Generators |
[546:11736:1] |
Generators of the group modulo torsion |
j |
-259452202621356/1193297 |
j-invariant |
L |
4.0097897047563 |
L(r)(E,1)/r! |
Ω |
0.16860469281467 |
Real period |
R |
5.9455487830984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568g1 35784a1 |
Quadratic twists by: -4 -3 |