Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470x |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-20497400 = -1 · 23 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-426,3356] |
[a1,a2,a3,a4,a6] |
j |
-584043889/1400 |
j-invariant |
L |
4.3287837876763 |
L(r)(E,1)/r! |
Ω |
2.1643918938382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67760bd1 76230cp1 42350j1 59290em1 |
Quadratic twists by: -4 -3 5 -7 |