Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288q |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
127913520384 = 28 · 35 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 3 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1265,1587] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:138:1] |
Generators of the group modulo torsion |
j |
5178594304/2956581 |
j-invariant |
L |
9.2968428969822 |
L(r)(E,1)/r! |
Ω |
0.8936072040621 |
Real period |
R |
0.1733954035436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288bk1 |
Quadratic twists by: 13 |