Atkin-Lehner |
2+ 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050i |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1071360 |
Modular degree for the optimal curve |
Δ |
11375793457031250 = 2 · 35 · 515 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-90900,-9254250] |
[a1,a2,a3,a4,a6] |
Generators |
[-13580:53665:64] |
Generators of the group modulo torsion |
j |
5316218237037889/728050781250 |
j-invariant |
L |
3.3424666895129 |
L(r)(E,1)/r! |
Ω |
0.27744935974881 |
Real period |
R |
3.0117808484084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010q1 |
Quadratic twists by: 5 |