Atkin-Lehner |
2+ 3+ 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330h |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
350222400 = 26 · 33 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-444,3600] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:87:1] [0:60:1] |
Generators of the group modulo torsion |
j |
358970654043/12971200 |
j-invariant |
L |
7.5705251182518 |
L(r)(E,1)/r! |
Ω |
1.6920907734641 |
Real period |
R |
1.1185163994985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330bd1 |
Quadratic twists by: -3 |