Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bb |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3701547102493940 = 22 · 5 · 7 · 319 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -2 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22243326,-40387537657] |
[a1,a2,a3,a4,a6] |
Generators |
[529775215761008180769595053:-60004057443610684109177394839:36669260025721639510137] |
Generators of the group modulo torsion |
j |
46032827294719/140 |
j-invariant |
L |
12.24687816494 |
L(r)(E,1)/r! |
Ω |
0.069518376767581 |
Real period |
R |
44.041873294395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270bc2 |
Quadratic twists by: -31 |