Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470f |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5492249659261750000 = -1 · 24 · 56 · 7 · 1112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,60981,112610342] |
[a1,a2,a3,a4,a6] |
j |
14156681599871/3100231750000 |
j-invariant |
L |
0.74504354556738 |
L(r)(E,1)/r! |
Ω |
0.18626088639184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760bt3 76230en3 42350cq3 59290cd3 |
Quadratic twists by: -4 -3 5 -7 |