Atkin-Lehner |
2- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
63602u |
Isogeny class |
Conductor |
63602 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
12619580144864 = 25 · 73 · 117 · 59 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11- -7 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24242,1440676] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1734:1] |
Generators of the group modulo torsion |
j |
4593418894104391/36791778848 |
j-invariant |
L |
3.6847923048819 |
L(r)(E,1)/r! |
Ω |
0.71456784265603 |
Real period |
R |
0.073666749227878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63602r1 |
Quadratic twists by: -7 |