Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216h |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3426556181479424 = -1 · 227 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12609,-2872801] |
[a1,a2,a3,a4,a6] |
j |
-7189057/111104 |
j-invariant |
L |
3.0577565802983 |
L(r)(E,1)/r! |
Ω |
0.19110978541136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216ce1 3038h1 13888k1 |
Quadratic twists by: -4 8 -7 |