Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bd |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-56376000000 = -1 · 29 · 35 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-10188] |
[a1,a2,a3,a4,a6] |
Generators |
[28:166:1] |
Generators of the group modulo torsion |
j |
2863288/7047 |
j-invariant |
L |
3.6044596172247 |
L(r)(E,1)/r! |
Ω |
0.57641351967635 |
Real period |
R |
3.1266265397865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69600bs1 2784d1 |
Quadratic twists by: -4 5 |