Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932c |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
138978166984272 = 24 · 39 · 76 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34236,2371329] |
[a1,a2,a3,a4,a6] |
Generators |
[84:297:1] |
Generators of the group modulo torsion |
j |
14091638390784/441301399 |
j-invariant |
L |
4.6030209024483 |
L(r)(E,1)/r! |
Ω |
0.57912281474544 |
Real period |
R |
1.3247106317718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85932e1 |
Quadratic twists by: -3 |