Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680be |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1208320 |
Modular degree for the optimal curve |
Δ |
-277352311159664640 = -1 · 212 · 310 · 5 · 475 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-634152,-196018544] |
[a1,a2,a3,a4,a6] |
Generators |
[18560:2526156:1] |
Generators of the group modulo torsion |
j |
-9445312588271104/92884727835 |
j-invariant |
L |
7.8366274522869 |
L(r)(E,1)/r! |
Ω |
0.084540837913446 |
Real period |
R |
4.634817707731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67680l1 22560c1 |
Quadratic twists by: -4 -3 |