Atkin-Lehner |
3- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66975m |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
28255078125 = 34 · 58 · 19 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -4 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-958,-8381] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:221:8] |
Generators of the group modulo torsion |
j |
249180160/72333 |
j-invariant |
L |
15.072516713549 |
L(r)(E,1)/r! |
Ω |
0.87711920879238 |
Real period |
R |
1.4320095226114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66975c1 |
Quadratic twists by: 5 |