Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12792a |
Isogeny class |
Conductor |
12792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
1076121396488346624 = 210 · 35 · 137 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 -5 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-530232,-139801284] |
[a1,a2,a3,a4,a6] |
Generators |
[-470:2316:1] |
Generators of the group modulo torsion |
j |
16099870298990155492/1050899801258151 |
j-invariant |
L |
1.8130956925631 |
L(r)(E,1)/r! |
Ω |
0.17764740945281 |
Real period |
R |
5.1030738307632 |
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 |
25584g1 102336bh1 38376s1 |
Quadratic twists by: -4 8 -3 |