Atkin-Lehner |
11- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8789a |
Isogeny class |
Conductor |
8789 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
307342541 = 113 · 173 · 47 |
Discriminant |
Eigenvalues |
-1 2 3 1 11- -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-759,7688] |
[a1,a2,a3,a4,a6] |
Generators |
[18:7:1] |
Generators of the group modulo torsion |
j |
48359833994737/307342541 |
j-invariant |
L |
4.6750433962787 |
L(r)(E,1)/r! |
Ω |
1.7322360796738 |
Real period |
R |
0.89961629193927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79101g1 96679f1 |
Quadratic twists by: -3 -11 |