Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850cc |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-23250240000000 = -1 · 212 · 35 · 57 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1287,231417] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:459:1] |
Generators of the group modulo torsion |
j |
15087533111/1488015360 |
j-invariant |
L |
11.235975261411 |
L(r)(E,1)/r! |
Ω |
0.51790488838256 |
Real period |
R |
0.09039606429552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8970a1 |
Quadratic twists by: 5 |