Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794f |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1405125568 = -1 · 26 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-128,-1856] |
[a1,a2,a3,a4,a6] |
Generators |
[24:80:1] |
Generators of the group modulo torsion |
j |
-679151439/4096576 |
j-invariant |
L |
2.2308952465184 |
L(r)(E,1)/r! |
Ω |
0.63444646254488 |
Real period |
R |
0.87907151281525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24794d1 |
Quadratic twists by: -7 |