Atkin-Lehner |
2- 3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bd |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
38877074280 = 23 · 39 · 5 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63398,-6128243] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:73:1] |
Generators of the group modulo torsion |
j |
1431702126657243/1975160 |
j-invariant |
L |
6.8655980126574 |
L(r)(E,1)/r! |
Ω |
0.30087162830757 |
Real period |
R |
1.9015856393373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330h2 |
Quadratic twists by: -3 |