Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234m |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2292453824864 = 25 · 78 · 172 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8189,275089] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:671:1] [-26:699:1] |
Generators of the group modulo torsion |
j |
60732287614280017/2292453824864 |
j-invariant |
L |
5.8792778712287 |
L(r)(E,1)/r! |
Ω |
0.81308292234043 |
Real period |
R |
0.36154232918235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81872w2 92106r2 71638n2 |
Quadratic twists by: -4 -3 -7 |