Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cm |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-1237830 = -1 · 2 · 3 · 5 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41,111] |
[a1,a2,a3,a4,a6] |
Generators |
[102:279:8] |
Generators of the group modulo torsion |
j |
-5735339/930 |
j-invariant |
L |
14.785599200242 |
L(r)(E,1)/r! |
Ω |
2.6297525204501 |
Real period |
R |
2.8112149492447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530u1 |
Quadratic twists by: -11 |