Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440df |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-28753920 = -1 · 214 · 33 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[9:3:1] |
Generators of the group modulo torsion |
j |
-27648/65 |
j-invariant |
L |
3.5296052453648 |
L(r)(E,1)/r! |
Ω |
0.84682369820604 |
Real period |
R |
2.084026021496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440l1 9360f1 37440dp1 |
Quadratic twists by: -4 8 -3 |