Atkin-Lehner |
3- 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51675bb |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-136454296875 = -1 · 3 · 58 · 133 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 0 5 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-43583,3487619] |
[a1,a2,a3,a4,a6] |
j |
-23438240481280/349323 |
j-invariant |
L |
2.8431839885696 |
L(r)(E,1)/r! |
Ω |
0.94772799605438 |
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 |
51675a1 |
Quadratic twists by: 5 |