Atkin-Lehner |
2- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96832be |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
30447079424 = 212 · 174 · 89 |
Discriminant |
Eigenvalues |
2- -2 -2 0 -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-889,5511] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:88:1] [35:136:1] |
Generators of the group modulo torsion |
j |
18991421632/7433369 |
j-invariant |
L |
6.5423987431269 |
L(r)(E,1)/r! |
Ω |
1.0690096638168 |
Real period |
R |
1.5300139380922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832bc1 48416f1 |
Quadratic twists by: -4 8 |