Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
124384o |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-5911412289536 = -1 · 212 · 137 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 4 1 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3155,93989] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1183:1] |
Generators of the group modulo torsion |
j |
175616/299 |
j-invariant |
L |
7.2797482782215 |
L(r)(E,1)/r! |
Ω |
0.51837222522794 |
Real period |
R |
1.7554345871783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384j1 9568f1 |
Quadratic twists by: -4 13 |