Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28900g |
Isogeny class |
Conductor |
28900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
139515148820000000 = 28 · 57 · 178 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -5 -6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1310133,-576476863] |
[a1,a2,a3,a4,a6] |
Generators |
[-1161204:223975:1728] |
Generators of the group modulo torsion |
j |
8912896/5 |
j-invariant |
L |
7.7277309512458 |
L(r)(E,1)/r! |
Ω |
0.14111893937799 |
Real period |
R |
4.5633674835493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600cl1 5780f1 28900e1 |
Quadratic twists by: -4 5 17 |