Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64220c |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8382528 |
Modular degree for the optimal curve |
Δ |
-4.4958023634788E+24 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11222501,-103039387060] |
[a1,a2,a3,a4,a6] |
Generators |
[18408946794212615213461:811408064194856257566991:2917825425163378079] |
Generators of the group modulo torsion |
j |
-2024009807797682176/58213956201171875 |
j-invariant |
L |
7.4836571567365 |
L(r)(E,1)/r! |
Ω |
0.033654877396737 |
Real period |
R |
37.060785516644 |
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 |
4940f1 |
Quadratic twists by: 13 |