Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256h |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
16594598852612352 = 28 · 39 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11- 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028807,-1112250150] |
[a1,a2,a3,a4,a6] |
Generators |
[6087:460512:1] |
Generators of the group modulo torsion |
j |
103456682352/1859 |
j-invariant |
L |
5.2796878263003 |
L(r)(E,1)/r! |
Ω |
0.12649980010712 |
Real period |
R |
5.2170910428521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113256bi1 10296h1 |
Quadratic twists by: -3 -11 |