Atkin-Lehner |
2+ 3+ 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330g |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-5309694445275000 = -1 · 23 · 39 · 55 · 115 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14106,3442508] |
[a1,a2,a3,a4,a6] |
j |
15769820131533/269760425000 |
j-invariant |
L |
3.1993578235017 |
L(r)(E,1)/r! |
Ω |
0.31993578229569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66330bc1 |
Quadratic twists by: -3 |