Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376u |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1803066678378496 = -1 · 216 · 317 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10571,2085370] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1582:1] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
3.731044307737 |
L(r)(E,1)/r! |
Ω |
0.39827140234728 |
Real period |
R |
4.6840474683187 |
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 |
1922d1 61504bm1 496f1 |
Quadratic twists by: -4 8 -31 |