Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37518p |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-1584194741102376 = -1 · 23 · 38 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46732,-4353835] |
[a1,a2,a3,a4,a6] |
Generators |
[911:26193:1] |
Generators of the group modulo torsion |
j |
-13836319393/1942056 |
j-invariant |
L |
4.1433793426592 |
L(r)(E,1)/r! |
Ω |
0.16110013380076 |
Real period |
R |
4.2865465563838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554j1 37518c1 |
Quadratic twists by: -3 13 |