Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bk |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
9097920 = 26 · 37 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,43652] |
[a1,a2,a3,a4,a6] |
Generators |
[32:38:1] |
Generators of the group modulo torsion |
j |
30488290624/195 |
j-invariant |
L |
5.0363410358687 |
L(r)(E,1)/r! |
Ω |
2.0605992543785 |
Real period |
R |
2.4441147521361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bj1 18720n3 12480o1 |
Quadratic twists by: -4 8 -3 |