Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330q |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-5897796157440 = -1 · 215 · 36 · 5 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4554,-165132] |
[a1,a2,a3,a4,a6] |
Generators |
[23874:165211:216] |
Generators of the group modulo torsion |
j |
-14329429649569/8090255360 |
j-invariant |
L |
3.6855174875265 |
L(r)(E,1)/r! |
Ω |
0.28317767586389 |
Real period |
R |
6.5074294375915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370d1 |
Quadratic twists by: -3 |