Atkin-Lehner |
2- 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816q |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-65866825728 = -1 · 219 · 35 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4928,-132096] |
[a1,a2,a3,a4,a6] |
j |
-3231945186625/16080768 |
j-invariant |
L |
1.1392663932203 |
L(r)(E,1)/r! |
Ω |
0.28481659830511 |
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 |
3102j1 99264cb1 74448v1 |
Quadratic twists by: -4 8 -3 |