Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bv |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
544 |
Product of Tamagawa factors cp |
deg |
31334400 |
Modular degree for the optimal curve |
Δ |
1.5952151271236E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-308894567,820935158559] |
[a1,a2,a3,a4,a6] |
j |
4471229807001227431070313769/2188223768345161236480000 |
j-invariant |
L |
5.7381590945415 |
L(r)(E,1)/r! |
Ω |
0.042192346283426 |
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 |
16590a1 |
Quadratic twists by: -3 |