Atkin-Lehner |
2+ 3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330n |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1047115118657520 = 24 · 310 · 5 · 11 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49815,-3973779] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:530:1] [297:2565:1] |
Generators of the group modulo torsion |
j |
18753463680816241/1436371904880 |
j-invariant |
L |
6.6242123784475 |
L(r)(E,1)/r! |
Ω |
0.32111413272933 |
Real period |
R |
2.5786051216888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110s3 |
Quadratic twists by: -3 |