Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488m |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-275403276288 = -1 · 215 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3051,-69606] |
[a1,a2,a3,a4,a6] |
j |
-38958219/3416 |
j-invariant |
L |
1.2783546234348 |
L(r)(E,1)/r! |
Ω |
0.31958865636073 |
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 |
7686n1 61488l1 |
Quadratic twists by: -4 -3 |