Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bx |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-73068852675 = -1 · 3 · 52 · 78 · 132 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 0 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-194938,33062929] |
[a1,a2,a3,a4,a6] |
j |
-5684485058560/507 |
j-invariant |
L |
5.0207047452258 |
L(r)(E,1)/r! |
Ω |
0.83678412425214 |
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 |
47775be1 47775v1 |
Quadratic twists by: 5 -7 |