Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fq |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-115557580800 = -1 · 214 · 38 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 5 3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1488,27488] |
[a1,a2,a3,a4,a6] |
j |
-30505984/9675 |
j-invariant |
L |
3.9753626540174 |
L(r)(E,1)/r! |
Ω |
0.99384053063647 |
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 |
123840bs1 30960m1 41280cr1 |
Quadratic twists by: -4 8 -3 |