Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600q |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1882737888192000000 = 212 · 36 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-354433,47426737] |
[a1,a2,a3,a4,a6] |
j |
1906624/729 |
j-invariant |
L |
1.9215968447812 |
L(r)(E,1)/r! |
Ω |
0.24019960202779 |
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 |
117600gw2 4704bc2 117600cu2 |
Quadratic twists by: -4 5 -7 |