Atkin-Lehner |
2- 3+ 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bn |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
8850095166528 = 26 · 33 · 72 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74540,7850351] |
[a1,a2,a3,a4,a6] |
j |
1696378076108647875/327781302464 |
j-invariant |
L |
2.8436544516695 |
L(r)(E,1)/r! |
Ω |
0.71091362330709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81774f3 |
Quadratic twists by: -3 |