Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1821771000000000000 = 212 · 37 · 512 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1966107,1059117194] |
[a1,a2,a3,a4,a6] |
Generators |
[778:630:1] |
Generators of the group modulo torsion |
j |
281486573281608409/610107421875 |
j-invariant |
L |
6.6937066106321 |
L(r)(E,1)/r! |
Ω |
0.2646449138149 |
Real period |
R |
2.1077634768089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355r3 28560ce4 |
Quadratic twists by: -4 -3 |