Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376t |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-440201825776 = -1 · 24 · 317 |
Discriminant |
Eigenvalues |
2- 0 1 -3 6 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16337,-804357] |
[a1,a2,a3,a4,a6] |
Generators |
[284735186:-7576917049:389017] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
4.9990384086191 |
L(r)(E,1)/r! |
Ω |
0.21113134195605 |
Real period |
R |
11.838693304142 |
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 |
3844a1 61504bl1 496e1 |
Quadratic twists by: -4 8 -31 |