Atkin-Lehner |
2- 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cp |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
257859548730 = 2 · 32 · 5 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3480,73695] |
[a1,a2,a3,a4,a6] |
j |
115501303/6390 |
j-invariant |
L |
3.8753566754902 |
L(r)(E,1)/r! |
Ω |
0.9688390659879 |
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 |
104370de1 |
Quadratic twists by: -7 |