Atkin-Lehner |
2- 3+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384v |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
963182592 = 216 · 32 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,-5376] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:12:1] [-14:14:1] |
Generators of the group modulo torsion |
j |
6078390625/235152 |
j-invariant |
L |
8.7613023412459 |
L(r)(E,1)/r! |
Ω |
0.96360239236076 |
Real period |
R |
4.5461190272155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798i1 |
Quadratic twists by: -4 |