Atkin-Lehner |
5+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175g |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
68129140625 = 57 · 72 · 13 · 372 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2192,-36909] |
[a1,a2,a3,a4,a6] |
j |
74565301329/4360265 |
j-invariant |
L |
2.8010677537905 |
L(r)(E,1)/r! |
Ω |
0.70026696095765 |
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 |
16835b1 |
Quadratic twists by: 5 |