Atkin-Lehner |
5- 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84175i |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
38299625 = 53 · 72 · 132 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-210,-1225] |
[a1,a2,a3,a4,a6] |
j |
8254655261/306397 |
j-invariant |
L |
2.5124450023427 |
L(r)(E,1)/r! |
Ω |
1.2562224735668 |
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 |
84175l1 |
Quadratic twists by: 5 |