Atkin-Lehner |
2+ 3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510a |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-8593457471815680 = -1 · 226 · 36 · 5 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70068,8388432] |
[a1,a2,a3,a4,a6] |
j |
-38044559559390506569/8593457471815680 |
j-invariant |
L |
0.7885314244009 |
L(r)(E,1)/r! |
Ω |
0.39426571220047 |
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 |
73530bi1 122550ci1 |
Quadratic twists by: -3 5 |