Atkin-Lehner |
2- 3- 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bk |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
278034909134400 = 26 · 311 · 52 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17573,-396003] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:654:1] |
Generators of the group modulo torsion |
j |
823210197444361/381392193600 |
j-invariant |
L |
10.652546940537 |
L(r)(E,1)/r! |
Ω |
0.43351830545636 |
Real period |
R |
2.0476926437589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110b1 |
Quadratic twists by: -3 |