Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dh |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19765032000000 = 29 · 3 · 56 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274808,55356888] |
[a1,a2,a3,a4,a6] |
Generators |
[2442:687:8] |
Generators of the group modulo torsion |
j |
2438569736/21 |
j-invariant |
L |
6.3978948680998 |
L(r)(E,1)/r! |
Ω |
0.61627963572925 |
Real period |
R |
5.1907401175291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600z4 4704u3 16800k2 |
Quadratic twists by: -4 5 -7 |