Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560bg |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1.1755978324181E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2577025,1503569375] |
[a1,a2,a3,a4,a6] |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
3.6699614002283 |
L(r)(E,1)/r! |
Ω |
0.18349807001141 |
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 |
10560bv1 330d1 31680q1 52800bl1 |
Quadratic twists by: -4 8 -3 5 |