Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160p |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-43724800 = -1 · 212 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78261,-8400835] |
[a1,a2,a3,a4,a6] |
Generators |
[448955011455336:-12963921846470765:483366984192] |
Generators of the group modulo torsion |
j |
-12942122082402304/10675 |
j-invariant |
L |
6.8862732105558 |
L(r)(E,1)/r! |
Ω |
0.14271931360007 |
Real period |
R |
24.125232376931 |
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 |
2135c1 |
Quadratic twists by: -4 |