Atkin-Lehner |
2- 3- 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614s |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
-58074560037085536 = -1 · 25 · 310 · 75 · 23 · 433 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3009731,2010524451] |
[a1,a2,a3,a4,a6] |
Generators |
[1631:37110:1] |
Generators of the group modulo torsion |
j |
-4135986314107349911273/79663319666784 |
j-invariant |
L |
9.4349494612759 |
L(r)(E,1)/r! |
Ω |
0.32408378091426 |
Real period |
R |
0.19408457403189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538e1 |
Quadratic twists by: -3 |