Atkin-Lehner |
3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4935j |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
832 |
Modular degree for the optimal curve |
Δ |
-518175 = -1 · 32 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 6 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17,-19] |
[a1,a2,a3,a4,a6] |
j |
590589719/518175 |
j-invariant |
L |
3.2277526983333 |
L(r)(E,1)/r! |
Ω |
1.6138763491666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960cf1 14805d1 24675e1 34545c1 |
Quadratic twists by: -4 -3 5 -7 |