Atkin-Lehner |
2- 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550bf |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-3709192459500000 = -1 · 25 · 315 · 56 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22087,2653031] |
[a1,a2,a3,a4,a6] |
j |
76262783193143/237388317408 |
j-invariant |
L |
3.1247462056295 |
L(r)(E,1)/r! |
Ω |
0.3124746200276 |
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 |
3102e1 |
Quadratic twists by: 5 |