Atkin-Lehner |
2- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
104720z |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23591321600 = 216 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162456,25257200] |
[a1,a2,a3,a4,a6] |
Generators |
[6798:13546:27] |
Generators of the group modulo torsion |
j |
115764048064464409/5759600 |
j-invariant |
L |
9.8692053939476 |
L(r)(E,1)/r! |
Ω |
0.89788881031153 |
Real period |
R |
5.4957836894498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090a2 |
Quadratic twists by: -4 |