Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bx |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
61011468 = 22 · 36 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,-129] |
[a1,a2,a3,a4,a6] |
j |
493039/244 |
j-invariant |
L |
6.2964038769814 |
L(r)(E,1)/r! |
Ω |
1.5741009695858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978c1 53802cj1 |
Quadratic twists by: -3 -7 |