Atkin-Lehner |
2+ 3- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330z |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-17552708910 = -1 · 2 · 39 · 5 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-909,12555] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:159:1] |
Generators of the group modulo torsion |
j |
-114013572049/24077790 |
j-invariant |
L |
4.2626817448759 |
L(r)(E,1)/r! |
Ω |
1.1770098240491 |
Real period |
R |
0.30180162603885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22110q1 |
Quadratic twists by: -3 |