Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391s |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
54340285618285821 = 37 · 7 · 11 · 199 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11+ -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-156794,21049385] |
[a1,a2,a3,a4,a6] |
j |
9061356040192/1155048741 |
j-invariant |
L |
9.55658234231 |
L(r)(E,1)/r! |
Ω |
0.3413065172373 |
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 |
4389a1 |
Quadratic twists by: -19 |