Atkin-Lehner |
2- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88102l |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
6769052864 = 26 · 76 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -2 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1504,22467] |
[a1,a2,a3,a4,a6] |
Generators |
[9:93:1] |
Generators of the group modulo torsion |
j |
3196010817/57536 |
j-invariant |
L |
7.859348404197 |
L(r)(E,1)/r! |
Ω |
1.3328688576684 |
Real period |
R |
0.4913804513251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798c1 |
Quadratic twists by: -7 |