Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376y |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-440201825776 = -1 · 24 · 317 |
Discriminant |
Eigenvalues |
2- -2 -3 1 -6 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2242,51111] |
[a1,a2,a3,a4,a6] |
Generators |
[103:961:1] |
Generators of the group modulo torsion |
j |
-87808/31 |
j-invariant |
L |
1.5825580382775 |
L(r)(E,1)/r! |
Ω |
0.88605172775511 |
Real period |
R |
0.44651965249451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3844c1 61504ca1 496d1 |
Quadratic twists by: -4 8 -31 |