Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600es |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-16602626880000000 = -1 · 212 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-6198863] |
[a1,a2,a3,a4,a6] |
Generators |
[432:8575:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
3.9694240781693 |
L(r)(E,1)/r! |
Ω |
0.17829832439538 |
Real period |
R |
1.391426436972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600gp2 23520s2 16800bv2 |
Quadratic twists by: -4 5 -7 |