Atkin-Lehner |
2- 3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160w |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
4887799200000 = 28 · 36 · 55 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30820,2069600] |
[a1,a2,a3,a4,a6] |
Generators |
[95:90:1] [-190:1050:1] |
Generators of the group modulo torsion |
j |
12647239452290896/19092965625 |
j-invariant |
L |
10.938230826053 |
L(r)(E,1)/r! |
Ω |
0.76866253937866 |
Real period |
R |
0.23717019857432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320g1 |
Quadratic twists by: -4 |