Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
5680c |
Isogeny class |
Conductor |
5680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-110937500000000 = -1 · 28 · 514 · 71 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25663,-1661538] |
[a1,a2,a3,a4,a6] |
j |
-7301397935194704/433349609375 |
j-invariant |
L |
1.6915844157256 |
L(r)(E,1)/r! |
Ω |
0.18795382396951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2840c2 22720bk2 51120h2 28400d2 |
Quadratic twists by: -4 8 -3 5 |