Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850h |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-6403770642089843750 = -1 · 2 · 514 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5377776,4801215948] |
[a1,a2,a3,a4,a6] |
j |
-27279055902727/10156250 |
j-invariant |
L |
0.93431437667226 |
L(r)(E,1)/r! |
Ω |
0.2335785941681 |
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 |
6370o1 31850y1 |
Quadratic twists by: 5 -7 |