Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cu |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5318784 |
Modular degree for the optimal curve |
Δ |
-2.1625457665692E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1607292,-1056821256] |
[a1,a2,a3,a4,a6] |
j |
-292571728/137781 |
j-invariant |
L |
0.59005320498421 |
L(r)(E,1)/r! |
Ω |
0.06556142958739 |
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 |
30324f1 121296bu1 |
Quadratic twists by: -4 -19 |