Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975l |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-275616675 = -1 · 37 · 52 · 712 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -6 5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30,801] |
[a1,a2,a3,a4,a6] |
Generators |
[9:35:1] |
Generators of the group modulo torsion |
j |
-163840/15123 |
j-invariant |
L |
4.0269086264723 |
L(r)(E,1)/r! |
Ω |
1.4301896048417 |
Real period |
R |
0.70391167241737 |
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 |
5325h1 15975v1 |
Quadratic twists by: -3 5 |