Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94656bb |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-20777086656 = -1 · 26 · 33 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -5 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-327,7191] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:87:1] [30:159:1] |
Generators of the group modulo torsion |
j |
-60605834752/324641979 |
j-invariant |
L |
9.9141102207931 |
L(r)(E,1)/r! |
Ω |
1.0499098384243 |
Real period |
R |
0.78690171435611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656r1 47328g1 |
Quadratic twists by: -4 8 |