Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470be |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3.6425452384949E+23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26008852,41998530379] |
[a1,a2,a3,a4,a6] |
Generators |
[1037:126531:1] |
Generators of the group modulo torsion |
j |
1098325674097093229481/205612182617187500 |
j-invariant |
L |
6.5784894706251 |
L(r)(E,1)/r! |
Ω |
0.09078767082729 |
Real period |
R |
1.8115040871408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760bx3 76230bh3 42350f3 59290cq3 |
Quadratic twists by: -4 -3 5 -7 |