Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275s |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-51086953125 = -1 · 37 · 57 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 3 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14855,-693228] |
[a1,a2,a3,a4,a6] |
j |
-31824875809/4485 |
j-invariant |
L |
1.7297765090047 |
L(r)(E,1)/r! |
Ω |
0.21622206321515 |
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 |
22425e1 13455h1 |
Quadratic twists by: -3 5 |