Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bg |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
49397760000 = 217 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102945,12678975] |
[a1,a2,a3,a4,a6] |
Generators |
[2730:33375:8] |
Generators of the group modulo torsion |
j |
920521164880658/376875 |
j-invariant |
L |
8.5051647422487 |
L(r)(E,1)/r! |
Ω |
0.91695754510044 |
Real period |
R |
4.6377091216344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64320cb4 8040a4 |
Quadratic twists by: -4 8 |