Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130d |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-410943076110 = -1 · 2 · 35 · 5 · 73 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-158,-30918] |
[a1,a2,a3,a4,a6] |
j |
-1284365503/1198084770 |
j-invariant |
L |
0.85303249747782 |
L(r)(E,1)/r! |
Ω |
0.42651667299779 |
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 |
116130bm1 |
Quadratic twists by: -7 |