Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600f |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21798720000000 = -1 · 212 · 34 · 57 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8033,-354063] |
[a1,a2,a3,a4,a6] |
j |
-895841344/340605 |
j-invariant |
L |
1.9797180168224 |
L(r)(E,1)/r! |
Ω |
0.24746475430715 |
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 |
69600s2 13920z2 |
Quadratic twists by: -4 5 |