Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15631b |
Isogeny class |
Conductor |
15631 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2430332217467 = -1 · 77 · 112 · 293 |
Discriminant |
Eigenvalues |
0 -1 0 7- 11+ -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3103,-99233] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7815:1] |
Generators of the group modulo torsion |
j |
-28094464000/20657483 |
j-invariant |
L |
2.519700929414 |
L(r)(E,1)/r! |
Ω |
0.30987192305777 |
Real period |
R |
0.67761891874283 |
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 |
2233b1 |
Quadratic twists by: -7 |