Atkin-Lehner |
2- 3- 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614q |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-2990198869048188 = -1 · 22 · 310 · 7 · 232 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-255056,49712847] |
[a1,a2,a3,a4,a6] |
Generators |
[2302:1167:8] |
Generators of the group modulo torsion |
j |
-2517104353518918073/4101781713372 |
j-invariant |
L |
8.3202845675641 |
L(r)(E,1)/r! |
Ω |
0.45060586433979 |
Real period |
R |
2.3080826285878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41538a1 |
Quadratic twists by: -3 |