Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640t |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-41189609733120 = -1 · 210 · 32 · 5 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8544,-51516] |
[a1,a2,a3,a4,a6] |
Generators |
[5862:93860:27] |
Generators of the group modulo torsion |
j |
1431644/855 |
j-invariant |
L |
9.239505306649 |
L(r)(E,1)/r! |
Ω |
0.37585613097161 |
Real period |
R |
3.0728198060149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320c1 4560b1 |
Quadratic twists by: -4 -19 |