Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107996i |
Isogeny class |
Conductor |
107996 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37872 |
Modular degree for the optimal curve |
Δ |
-12527536 = -1 · 24 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -3 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[11:29:1] |
Generators of the group modulo torsion |
j |
-7340032/15979 |
j-invariant |
L |
3.2621841622248 |
L(r)(E,1)/r! |
Ω |
0.90446550062684 |
Real period |
R |
0.60112560039298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998762501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107996a1 |
Quadratic twists by: -7 |