Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66424j |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3306224184317552 = -1 · 24 · 198 · 233 |
Discriminant |
Eigenvalues |
2- -1 2 0 0 7 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17208,2620753] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1481:1] |
Generators of the group modulo torsion |
j |
748596992/4392287 |
j-invariant |
L |
6.5095349474411 |
L(r)(E,1)/r! |
Ω |
0.3232098755082 |
Real period |
R |
5.0350681098766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496a1 |
Quadratic twists by: -19 |