Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296ci |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
1.9895719432715E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2044824,-897162000] |
[a1,a2,a3,a4,a6] |
j |
4906933498657/1032471552 |
j-invariant |
L |
1.02501935437 |
L(r)(E,1)/r! |
Ω |
0.1281274462141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162k1 6384bd1 |
Quadratic twists by: -4 -19 |