Atkin-Lehner |
2+ 3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
104442j |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
1356940194041952 = 25 · 38 · 137 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -3 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41916,2783770] |
[a1,a2,a3,a4,a6] |
Generators |
[-1682:13005:8] [-64:2313:1] |
Generators of the group modulo torsion |
j |
1687284042625/281125728 |
j-invariant |
L |
10.406326567536 |
L(r)(E,1)/r! |
Ω |
0.45972249148729 |
Real period |
R |
0.70737827983377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034g1 |
Quadratic twists by: 13 |