Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786bo |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
524310438597378048 = 214 · 35 · 76 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-390801,-87374108] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:2619:1] |
Generators of the group modulo torsion |
j |
56104910457765625/4456565194752 |
j-invariant |
L |
6.7402139674193 |
L(r)(E,1)/r! |
Ω |
0.19190810835538 |
Real period |
R |
1.1707363539836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914d1 |
Quadratic twists by: -7 |