Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24966h |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
32652057526272 = 214 · 39 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58106,-5369543] |
[a1,a2,a3,a4,a6] |
j |
1102270924639899/1658896384 |
j-invariant |
L |
4.3053868800013 |
L(r)(E,1)/r! |
Ω |
0.30752763428583 |
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 |
24966a1 |
Quadratic twists by: -3 |