Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cg |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
344536934765625 = 32 · 58 · 78 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4783651,-4027450927] |
[a1,a2,a3,a4,a6] |
j |
6585576176607121/187425 |
j-invariant |
L |
3.2667031577345 |
L(r)(E,1)/r! |
Ω |
0.10208447378117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495b1 8925b1 |
Quadratic twists by: 5 -7 |