Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800ce |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-45613056000000 = -1 · 225 · 3 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -6 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22608,1355712] |
[a1,a2,a3,a4,a6] |
Generators |
[56:512:1] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
2.4789461616627 |
L(r)(E,1)/r! |
Ω |
0.63484637632974 |
Real period |
R |
0.97619922476137 |
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 |
4350v1 104400eb1 1392p1 |
Quadratic twists by: -4 -3 5 |