Atkin-Lehner |
2+ 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632g |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-144728653824 = -1 · 223 · 35 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 3 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,25857] |
[a1,a2,a3,a4,a6] |
j |
-887503681/552096 |
j-invariant |
L |
1.908790719729 |
L(r)(E,1)/r! |
Ω |
0.95439535986449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13632q1 426a1 40896l1 |
Quadratic twists by: -4 8 -3 |