Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792l |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
14756155344 = 24 · 33 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-799,6176] |
[a1,a2,a3,a4,a6] |
Generators |
[32:120:1] |
Generators of the group modulo torsion |
j |
3530104010752/922259709 |
j-invariant |
L |
5.0770500496222 |
L(r)(E,1)/r! |
Ω |
1.167074906803 |
Real period |
R |
2.9001566337788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7896e1 63168cn1 47376t1 110544q1 |
Quadratic twists by: -4 8 -3 -7 |