Atkin-Lehner |
2- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34592d |
Isogeny class |
Conductor |
34592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-57463123456 = -1 · 29 · 23 · 474 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-491,-12270] |
[a1,a2,a3,a4,a6] |
Generators |
[471468:7759565:1728] |
Generators of the group modulo torsion |
j |
-25568086536/112232663 |
j-invariant |
L |
2.4501384444723 |
L(r)(E,1)/r! |
Ω |
0.46071548739829 |
Real period |
R |
10.636232171433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34592c2 69184e3 |
Quadratic twists by: -4 8 |