Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775dg |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-20656002583125 = -1 · 32 · 54 · 710 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,219223] |
[a1,a2,a3,a4,a6] |
j |
-1225/117 |
j-invariant |
L |
1.122088420197 |
L(r)(E,1)/r! |
Ω |
0.56104421046311 |
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 |
47775r1 47775bb1 |
Quadratic twists by: 5 -7 |