Atkin-Lehner |
2+ 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bc |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
102480 |
Modular degree for the optimal curve |
Δ |
-57950000000 = -1 · 27 · 58 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3 5- -4 -1 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,-11584] |
[a1,a2,a3,a4,a6] |
Generators |
[1713:12406:27] |
Generators of the group modulo torsion |
j |
135/148352 |
j-invariant |
L |
6.7700026869206 |
L(r)(E,1)/r! |
Ω |
0.51138318039101 |
Real period |
R |
4.4128701309715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950bo1 |
Quadratic twists by: 5 |