Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590cd |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
-8109197245440 = -1 · 210 · 37 · 5 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1642,-135003] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-705:1] |
Generators of the group modulo torsion |
j |
671991189479/11123727360 |
j-invariant |
L |
5.2137294878917 |
L(r)(E,1)/r! |
Ω |
0.35990163983939 |
Real period |
R |
0.72432699814343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530j1 |
Quadratic twists by: -3 |