Atkin-Lehner |
5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28975d |
Isogeny class |
Conductor |
28975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-817185546875 = -1 · 59 · 193 · 61 |
Discriminant |
Eigenvalues |
-2 -1 5+ -1 -2 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1492,36918] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1187:1] [3:203:1] |
Generators of the group modulo torsion |
j |
23491948544/52299875 |
j-invariant |
L |
3.7154600050635 |
L(r)(E,1)/r! |
Ω |
0.62041009047937 |
Real period |
R |
0.49905968945404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5795d1 |
Quadratic twists by: 5 |