Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078b |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
39707172 = 22 · 38 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
69173457625/39707172 |
j-invariant |
L |
4.0982137531138 |
L(r)(E,1)/r! |
Ω |
1.7459534337831 |
Real period |
R |
0.58681601608268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72624m1 27234o1 |
Quadratic twists by: -4 -3 |