Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290da |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-16455640678400 = -1 · 217 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2241,198463] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:112:1] [-49:464:1] |
Generators of the group modulo torsion |
j |
-247854343/3276800 |
j-invariant |
L |
11.412096293085 |
L(r)(E,1)/r! |
Ω |
0.58956737429708 |
Real period |
R |
0.094885929809485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290eg1 59290p1 |
Quadratic twists by: -7 -11 |