Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218x |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5191680 |
Modular degree for the optimal curve |
Δ |
-7.0386378622788E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -5 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4759938,560918164] |
[a1,a2,a3,a4,a6] |
Generators |
[14492:1757114:1] |
Generators of the group modulo torsion |
j |
20056410125375/11836253952 |
j-invariant |
L |
3.6331480965098 |
L(r)(E,1)/r! |
Ω |
0.080742831774507 |
Real period |
R |
3.7497117044615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406n1 88218cc1 |
Quadratic twists by: -3 13 |