Atkin-Lehner |
2- 3- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31302p |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-3217501278 = -1 · 2 · 39 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 1 -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-581,-5893] |
[a1,a2,a3,a4,a6] |
Generators |
[414:2327:8] |
Generators of the group modulo torsion |
j |
-29704593673/4413582 |
j-invariant |
L |
6.6538680166325 |
L(r)(E,1)/r! |
Ω |
0.48231657896325 |
Real period |
R |
1.7244555513038 |
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 |
10434d1 |
Quadratic twists by: -3 |