Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248q |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-2.0843751456997E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4493523,-7854375566] |
[a1,a2,a3,a4,a6] |
Generators |
[38146:2250423:8] |
Generators of the group modulo torsion |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
5.3249789717882 |
L(r)(E,1)/r! |
Ω |
0.048646623004968 |
Real period |
R |
1.3682807363741 |
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 |
15624i1 124992fr1 10416j1 |
Quadratic twists by: -4 8 -3 |