Atkin-Lehner |
2- 3- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354cd |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
956160 |
Modular degree for the optimal curve |
Δ |
-77276214939171402 = -1 · 2 · 321 · 73 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,89365,8530373] |
[a1,a2,a3,a4,a6] |
j |
108268749057908375/106003038325338 |
j-invariant |
L |
2.7127424516689 |
L(r)(E,1)/r! |
Ω |
0.22606206774417 |
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 |
41118g1 |
Quadratic twists by: -3 |