Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470s |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-173465600 = -1 · 213 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14,639] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-45:1] |
Generators of the group modulo torsion |
j |
2496791/1433600 |
j-invariant |
L |
4.7433707614128 |
L(r)(E,1)/r! |
Ω |
1.4074519280602 |
Real period |
R |
0.12962242854636 |
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 |
67760bm1 76230bo1 42350v1 59290ef1 |
Quadratic twists by: -4 -3 5 -7 |