Atkin-Lehner |
2- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68080j |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-36014320 = -1 · 24 · 5 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -2 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67,-197] |
[a1,a2,a3,a4,a6] |
j |
2078873856/2250895 |
j-invariant |
L |
1.1137894408995 |
L(r)(E,1)/r! |
Ω |
1.1137894409811 |
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 |
17020b1 |
Quadratic twists by: -4 |