Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160p |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4982686912000000 = -1 · 212 · 56 · 73 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76501,-8798499] |
[a1,a2,a3,a4,a6] |
Generators |
[10684824:274126375:13824] |
Generators of the group modulo torsion |
j |
-12088454429016064/1216476296875 |
j-invariant |
L |
6.8862732105558 |
L(r)(E,1)/r! |
Ω |
0.14271931360007 |
Real period |
R |
8.0417441256434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2135c2 |
Quadratic twists by: -4 |