Atkin-Lehner |
7- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99029a |
Isogeny class |
Conductor |
99029 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
1664380403 = 77 · 43 · 47 |
Discriminant |
Eigenvalues |
1 0 2 7- -1 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-401,-2290] |
[a1,a2,a3,a4,a6] |
j |
60698457/14147 |
j-invariant |
L |
2.1693768475174 |
L(r)(E,1)/r! |
Ω |
1.0846883049426 |
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 |
14147a1 |
Quadratic twists by: -7 |