Atkin-Lehner |
2- 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24426n |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-360132711267312 = -1 · 24 · 312 · 233 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16835,1245363] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1376:1] |
Generators of the group modulo torsion |
j |
-723787970811625/494009206128 |
j-invariant |
L |
6.5978207020039 |
L(r)(E,1)/r! |
Ω |
0.49590376927926 |
Real period |
R |
0.55435996446726 |
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 |
8142a1 |
Quadratic twists by: -3 |