Atkin-Lehner |
2- 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67896g |
Isogeny class |
Conductor |
67896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-5260058466048 = -1 · 28 · 312 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13215,595042] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1080:1] [-51:1066:1] |
Generators of the group modulo torsion |
j |
-1367595682000/28185327 |
j-invariant |
L |
10.34494946963 |
L(r)(E,1)/r! |
Ω |
0.76479221448387 |
Real period |
R |
1.6908104701116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22632c1 |
Quadratic twists by: -3 |