Atkin-Lehner |
2- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15272f |
Isogeny class |
Conductor |
15272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-702512 = -1 · 24 · 232 · 83 |
Discriminant |
Eigenvalues |
2- -3 0 1 -5 -6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70,229] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:19:1] [10:23:1] |
Generators of the group modulo torsion |
j |
-2370816000/43907 |
j-invariant |
L |
4.4504028505937 |
L(r)(E,1)/r! |
Ω |
2.862888611545 |
Real period |
R |
0.38862871163111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30544j1 122176n1 |
Quadratic twists by: -4 8 |