Atkin-Lehner |
2- 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cr |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1242967223914920 = 23 · 312 · 5 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57625,-5070913] |
[a1,a2,a3,a4,a6] |
j |
179874151486849/10565047080 |
j-invariant |
L |
3.7112384040028 |
L(r)(E,1)/r! |
Ω |
0.30926986885704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910be1 |
Quadratic twists by: -7 |