Atkin-Lehner |
3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8673b |
Isogeny class |
Conductor |
8673 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-170710659 = -1 · 310 · 72 · 59 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -6 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,34,-610] |
[a1,a2,a3,a4,a6] |
Generators |
[14:46:1] [24:109:1] |
Generators of the group modulo torsion |
j |
88545359/3483891 |
j-invariant |
L |
3.1713364095453 |
L(r)(E,1)/r! |
Ω |
0.86937586128526 |
Real period |
R |
1.8239156104808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26019l1 8673i1 |
Quadratic twists by: -3 -7 |