Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600gz |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
381182760000000 = 29 · 34 · 57 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69008,6890988] |
[a1,a2,a3,a4,a6] |
j |
38614472/405 |
j-invariant |
L |
2.1498850893535 |
L(r)(E,1)/r! |
Ω |
0.53747133800751 |
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 |
117600ff3 23520i3 2400r2 |
Quadratic twists by: -4 5 -7 |