Atkin-Lehner |
2- 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23994r |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-22892291496 = -1 · 23 · 33 · 31 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 1 -7 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,553,5143] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5390:1] |
Generators of the group modulo torsion |
j |
693859266477/847862648 |
j-invariant |
L |
9.806772773582 |
L(r)(E,1)/r! |
Ω |
0.80557979560255 |
Real period |
R |
1.0144632088916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23994b1 |
Quadratic twists by: -3 |