Atkin-Lehner |
3- 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
67599g |
Isogeny class |
Conductor |
67599 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5875231887 = -1 · 36 · 7 · 292 · 372 |
Discriminant |
Eigenvalues |
1 3- 4 7- 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,135,-3672] |
[a1,a2,a3,a4,a6] |
j |
371694959/8059303 |
j-invariant |
L |
5.2315871087124 |
L(r)(E,1)/r! |
Ω |
0.65394839026423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7511c2 |
Quadratic twists by: -3 |