Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
89780a |
Isogeny class |
Conductor |
89780 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16632 |
Modular degree for the optimal curve |
Δ |
-143648000 = -1 · 28 · 53 · 672 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,1000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:110:1] |
Generators of the group modulo torsion |
j |
-367696/125 |
j-invariant |
L |
5.7380474800694 |
L(r)(E,1)/r! |
Ω |
1.7318218949342 |
Real period |
R |
3.313301160095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89780b1 |
Quadratic twists by: -67 |