Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24794k |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2025067319882992 = -1 · 24 · 711 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,628,-2165248] |
[a1,a2,a3,a4,a6] |
Generators |
[304:4952:1] |
Generators of the group modulo torsion |
j |
232608375/17212788208 |
j-invariant |
L |
3.4966592221714 |
L(r)(E,1)/r! |
Ω |
0.21434770768901 |
Real period |
R |
4.0782559093712 |
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 |
3542e1 |
Quadratic twists by: -7 |