Atkin-Lehner |
2- 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bs |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
38877074280000 = 26 · 39 · 54 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33197,-2300331] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:186:1] |
Generators of the group modulo torsion |
j |
5549839638048649/53329320000 |
j-invariant |
L |
9.2245680051141 |
L(r)(E,1)/r! |
Ω |
0.35389774605467 |
Real period |
R |
0.5430339759108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110a1 |
Quadratic twists by: -3 |