Atkin-Lehner |
2+ 3- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994o |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
31842533376 = 215 · 36 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 3 -7 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3483,-77787] |
[a1,a2,a3,a4,a6] |
j |
6411014266033/43679744 |
j-invariant |
L |
1.2434079641574 |
L(r)(E,1)/r! |
Ω |
0.62170398207866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666e1 |
Quadratic twists by: -3 |