Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270h |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1485012737600 = 26 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3194,-36492] |
[a1,a2,a3,a4,a6] |
j |
89314623/36800 |
j-invariant |
L |
1.3170061585578 |
L(r)(E,1)/r! |
Ω |
0.65850307927888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160cm1 101430dv1 56350bg1 11270d1 |
Quadratic twists by: -4 -3 5 -7 |