Atkin-Lehner |
2- 3+ 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23430f |
Isogeny class |
Conductor |
23430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
283412279040 = 28 · 3 · 5 · 114 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20301,1104579] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:1530:1] [63:252:1] |
Generators of the group modulo torsion |
j |
925288879740640849/283412279040 |
j-invariant |
L |
8.4280433768702 |
L(r)(E,1)/r! |
Ω |
0.95476308942413 |
Real period |
R |
1.1034207687525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70290k2 117150s2 |
Quadratic twists by: -3 5 |