Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bn |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-32968731250000 = -1 · 24 · 58 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9213,434531] |
[a1,a2,a3,a4,a6] |
j |
-2305248169/878800 |
j-invariant |
L |
4.9350318535133 |
L(r)(E,1)/r! |
Ω |
0.61687898168896 |
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 |
6370a1 31850cd1 |
Quadratic twists by: 5 -7 |