Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440n |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-35942400 = -1 · 212 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] [-2:16:1] |
Generators of the group modulo torsion |
j |
1728/325 |
j-invariant |
L |
7.5470305346774 |
L(r)(E,1)/r! |
Ω |
1.5904218851292 |
Real period |
R |
1.186325245717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440m1 18720z1 37440bb1 |
Quadratic twists by: -4 8 -3 |