Atkin-Lehner |
3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53391f |
Isogeny class |
Conductor |
53391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-13661635689 = -1 · 310 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3+ -1 2 4 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4653,-124254] |
[a1,a2,a3,a4,a6] |
j |
-8140765628161/9979281 |
j-invariant |
L |
1.1559850486414 |
L(r)(E,1)/r! |
Ω |
0.28899626209487 |
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 |
53391a1 |
Quadratic twists by: 37 |