Atkin-Lehner |
2- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976w |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-379731968 = -1 · 214 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-691,-7054] |
[a1,a2,a3,a4,a6] |
j |
-8908363017/92708 |
j-invariant |
L |
1.8611896522686 |
L(r)(E,1)/r! |
Ω |
0.46529741290511 |
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 |
6622e1 |
Quadratic twists by: -4 |