Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24080g |
Isogeny class |
Conductor |
24080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74304 |
Modular degree for the optimal curve |
Δ |
-95505688759040 = -1 · 28 · 5 · 79 · 432 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2739,-467855] |
[a1,a2,a3,a4,a6] |
j |
8873629147136/373069096715 |
j-invariant |
L |
1.1530531481158 |
L(r)(E,1)/r! |
Ω |
0.28826328702899 |
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 |
6020b1 96320br1 120400bu1 |
Quadratic twists by: -4 8 5 |