Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347c |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2021760 |
Modular degree for the optimal curve |
Δ |
-7.9788218532568E+20 |
Discriminant |
Eigenvalues |
0 3+ -2 1 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2303921,186841566] |
[a1,a2,a3,a4,a6] |
j |
5537792/3267 |
j-invariant |
L |
0.19357925985015 |
L(r)(E,1)/r! |
Ω |
0.096789629329477 |
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 |
5577f1 61347a1 |
Quadratic twists by: -11 13 |