Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ed |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1058841000000000 = 29 · 32 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59208,-5339412] |
[a1,a2,a3,a4,a6] |
j |
195112/9 |
j-invariant |
L |
5.524780888339 |
L(r)(E,1)/r! |
Ω |
0.30693226079113 |
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 |
117600cc2 117600gd2 2400e2 |
Quadratic twists by: -4 5 -7 |