Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440t |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9193917403884533760 = -1 · 211 · 324 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,501040,-51625140] |
[a1,a2,a3,a4,a6] |
Generators |
[5079:189476:27] |
Generators of the group modulo torsion |
j |
6792194114133268318/4489217482365495 |
j-invariant |
L |
4.6593470920698 |
L(r)(E,1)/r! |
Ω |
0.13148548496958 |
Real period |
R |
8.8590521857753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880s5 67320i5 112200y5 |
Quadratic twists by: -4 -3 5 |