Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576m |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
34973171712 = 214 · 34 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1768,27760] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:230:1] [4:144:1] |
Generators of the group modulo torsion |
j |
149298747625/8538372 |
j-invariant |
L |
7.9879386646624 |
L(r)(E,1)/r! |
Ω |
1.1435710410126 |
Real period |
R |
1.7462707558559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322e1 |
Quadratic twists by: -4 |