Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880x |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
20900000000000000 = 214 · 514 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108625,-11859375] |
[a1,a2,a3,a4,a6] |
j |
8651614090955344/1275634765625 |
j-invariant |
L |
3.7179714851754 |
L(r)(E,1)/r! |
Ω |
0.26556939076201 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dv2 8360n2 |
Quadratic twists by: -4 8 |