Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078f |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
242733809664 = 220 · 32 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5164,138701] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:105:1] [-55:537:1] |
Generators of the group modulo torsion |
j |
15229570973927617/242733809664 |
j-invariant |
L |
6.0407219572013 |
L(r)(E,1)/r! |
Ω |
0.99004942967489 |
Real period |
R |
1.2202869424785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72624ba1 27234b1 |
Quadratic twists by: -4 -3 |