Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hi |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4939200000000 = 212 · 32 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24033,1422063] |
[a1,a2,a3,a4,a6] |
j |
69934528/225 |
j-invariant |
L |
3.087197011133 |
L(r)(E,1)/r! |
Ω |
0.77179914251257 |
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 |
117600bd2 23520e2 117600fk2 |
Quadratic twists by: -4 5 -7 |