Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330r |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1265529761718750000 = -1 · 24 · 38 · 512 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-580419,-178454075] |
[a1,a2,a3,a4,a6] |
Generators |
[1166:26417:1] |
Generators of the group modulo torsion |
j |
-29663436776980105009/1735980468750000 |
j-invariant |
L |
5.8822303729707 |
L(r)(E,1)/r! |
Ω |
0.086191154300986 |
Real period |
R |
1.4217986415638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110k2 |
Quadratic twists by: -3 |