Atkin-Lehner |
2+ 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554d |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2755584 |
Modular degree for the optimal curve |
Δ |
-5421510452737606266 = -1 · 2 · 312 · 1310 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,251694,100870758] |
[a1,a2,a3,a4,a6] |
j |
17546087/53946 |
j-invariant |
L |
0.68061654682396 |
L(r)(E,1)/r! |
Ω |
0.17015436464574 |
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 |
37518q1 112554y1 |
Quadratic twists by: -3 13 |