Atkin-Lehner |
2- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74008j |
Isogeny class |
Conductor |
74008 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-15062256176 = -1 · 24 · 113 · 294 |
Discriminant |
Eigenvalues |
2- 1 -2 2 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,561,3146] |
[a1,a2,a3,a4,a6] |
Generators |
[19:145:1] [55:451:1] |
Generators of the group modulo torsion |
j |
1722368/1331 |
j-invariant |
L |
11.379515775794 |
L(r)(E,1)/r! |
Ω |
0.79919253747157 |
Real period |
R |
0.79104257264137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74008a1 |
Quadratic twists by: 29 |