Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440fu |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2911334400 = -1 · 212 · 37 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,704] |
[a1,a2,a3,a4,a6] |
Generators |
[10:72:1] |
Generators of the group modulo torsion |
j |
1560896/975 |
j-invariant |
L |
5.7989435454243 |
L(r)(E,1)/r! |
Ω |
0.8850392744285 |
Real period |
R |
0.8190234762701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fr1 18720be1 12480bw1 |
Quadratic twists by: -4 8 -3 |