Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
15372g |
Isogeny class |
Conductor |
15372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-3904733952 = -1 · 28 · 36 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,2644] |
[a1,a2,a3,a4,a6] |
Generators |
[5:63:1] |
Generators of the group modulo torsion |
j |
8192000/20923 |
j-invariant |
L |
4.6374216768466 |
L(r)(E,1)/r! |
Ω |
0.97505377176717 |
Real period |
R |
0.7926779375531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61488bc1 1708b1 107604o1 |
Quadratic twists by: -4 -3 -7 |