Atkin-Lehner |
2- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33524c |
Isogeny class |
Conductor |
33524 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-880396395113728 = -1 · 28 · 179 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 5 -2 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34391,-2839714] |
[a1,a2,a3,a4,a6] |
Generators |
[100749959842:-1034965652670:371694959] |
Generators of the group modulo torsion |
j |
-148176/29 |
j-invariant |
L |
5.1518129555263 |
L(r)(E,1)/r! |
Ω |
0.17345772060468 |
Real period |
R |
14.850342024462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33524a1 |
Quadratic twists by: 17 |