Atkin-Lehner |
2+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680j |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
579737600 = 211 · 52 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -6 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2880,-58528] |
[a1,a2,a3,a4,a6] |
j |
1290393037442/283075 |
j-invariant |
L |
2.6067811682657 |
L(r)(E,1)/r! |
Ω |
0.65169529291153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34840j2 |
Quadratic twists by: -4 |