Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240km |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-419832000 = -1 · 26 · 32 · 53 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49525,4225673] |
[a1,a2,a3,a4,a6] |
Generators |
[128:3:1] |
Generators of the group modulo torsion |
j |
-209906535145406464/6559875 |
j-invariant |
L |
8.0211240634151 |
L(r)(E,1)/r! |
Ω |
1.2320546447246 |
Real period |
R |
1.0850606473875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240cp2 28560cm2 |
Quadratic twists by: -4 8 |