Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794bk |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-23574095161458688 = -1 · 230 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1758532,898050535] |
[a1,a2,a3,a4,a6] |
Generators |
[517:-11523:1] [-59:31677:1] |
Generators of the group modulo torsion |
j |
-1753396709868750829527/68729140412416 |
j-invariant |
L |
8.9950288270344 |
L(r)(E,1)/r! |
Ω |
0.35585625499568 |
Real period |
R |
0.4212856877254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24794bj1 |
Quadratic twists by: -7 |