Atkin-Lehner |
3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627h |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
1.8794557693044E+19 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4801707,-4046500704] |
[a1,a2,a3,a4,a6] |
j |
510082399/783 |
j-invariant |
L |
0.40799074805711 |
L(r)(E,1)/r! |
Ω |
0.10199777049133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123627s1 4263f1 |
Quadratic twists by: -7 29 |