Atkin-Lehner |
2- 5+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850p |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-141062500 = -1 · 22 · 56 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 3 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-580,5547] |
[a1,a2,a3,a4,a6] |
j |
-1378749897/9028 |
j-invariant |
L |
7.3936618391118 |
L(r)(E,1)/r! |
Ω |
1.8484153186056 |
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 |
4514a1 |
Quadratic twists by: 5 |