Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700d |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2329250000 = 24 · 56 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,-7038] |
[a1,a2,a3,a4,a6] |
j |
131072/7 |
j-invariant |
L |
3.6819288701581 |
L(r)(E,1)/r! |
Ω |
0.92048224973053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3388e1 84700o1 |
Quadratic twists by: 5 -11 |