Atkin-Lehner |
2+ 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966f |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1702482545557332 = 22 · 39 · 78 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32712,1123964] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:1408:1] |
Generators of the group modulo torsion |
j |
196680444073875/86495074204 |
j-invariant |
L |
4.7955621396628 |
L(r)(E,1)/r! |
Ω |
0.42513410143625 |
Real period |
R |
0.70500727350828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966x2 |
Quadratic twists by: -3 |