Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36652s |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-68688740641520384 = -1 · 28 · 78 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67816,-14325052] |
[a1,a2,a3,a4,a6] |
j |
-1145228156928/2280643211 |
j-invariant |
L |
8.3408719073054 |
L(r)(E,1)/r! |
Ω |
0.13901453178845 |
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 |
5236b1 |
Quadratic twists by: -7 |