Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400j |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
609280 |
Modular degree for the optimal curve |
Δ |
-20106944000000 = -1 · 212 · 56 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6200,-106000] |
[a1,a2,a3,a4,a6] |
Generators |
[588:5356:27] |
Generators of the group modulo torsion |
j |
411830784/314171 |
j-invariant |
L |
11.305299168816 |
L(r)(E,1)/r! |
Ω |
0.3817712723193 |
Real period |
R |
3.701594366746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114400y1 4576g1 |
Quadratic twists by: -4 5 |