Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550r |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-31283200 = -1 · 211 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-400,3187] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-15:1] |
Generators of the group modulo torsion |
j |
-282452486265/1251328 |
j-invariant |
L |
6.2879741953321 |
L(r)(E,1)/r! |
Ω |
2.0948345441784 |
Real period |
R |
0.2728778840057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550j1 |
Quadratic twists by: 5 |