Atkin-Lehner |
3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15111j |
Isogeny class |
Conductor |
15111 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-425401744023 = -1 · 38 · 233 · 732 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 -2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1624,-19110] |
[a1,a2,a3,a4,a6] |
Generators |
[38:291:1] |
Generators of the group modulo torsion |
j |
650137090247/583541487 |
j-invariant |
L |
1.36897331961 |
L(r)(E,1)/r! |
Ω |
0.51772491886888 |
Real period |
R |
0.44070163830147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037c1 |
Quadratic twists by: -3 |