Atkin-Lehner |
5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385b |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-1123858399498046875 = -1 · 59 · 132 · 237 |
Discriminant |
Eigenvalues |
0 -2 5+ 1 0 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-309641,-83767449] |
[a1,a2,a3,a4,a6] |
Generators |
[109055:2204016:125] |
Generators of the group modulo torsion |
j |
-22178567028736/7591796875 |
j-invariant |
L |
2.3476654473314 |
L(r)(E,1)/r! |
Ω |
0.099474121713271 |
Real period |
R |
5.9001914440084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495c1 |
Quadratic twists by: -23 |