Atkin-Lehner |
2+ 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050h |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
418811211914062500 = 22 · 36 · 512 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1348775,601550625] |
[a1,a2,a3,a4,a6] |
Generators |
[-560:34655:1] |
Generators of the group modulo torsion |
j |
17366916327928526449/26803917562500 |
j-invariant |
L |
3.4657144014268 |
L(r)(E,1)/r! |
Ω |
0.29836197659015 |
Real period |
R |
2.9039511487535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502945 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23010p2 |
Quadratic twists by: 5 |