Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820u |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
147592523520 = 28 · 36 · 5 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1407,-8426] |
[a1,a2,a3,a4,a6] |
Generators |
[-6174:39140:729] |
Generators of the group modulo torsion |
j |
1650587344/790855 |
j-invariant |
L |
6.5394752915634 |
L(r)(E,1)/r! |
Ω |
0.81743101504746 |
Real period |
R |
8.0000332396381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5980b1 |
Quadratic twists by: -3 |