Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83391t |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2553600 |
Modular degree for the optimal curve |
Δ |
9.8221743424361E+18 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-619596,111607679] |
[a1,a2,a3,a4,a6] |
j |
81520685056/30438639 |
j-invariant |
L |
6.2914653997524 |
L(r)(E,1)/r! |
Ω |
0.20971551100166 |
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 |
83391k1 |
Quadratic twists by: -19 |