Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966ca |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
37 |
Product of Tamagawa factors cp |
deg |
2530800 |
Modular degree for the optimal curve |
Δ |
-589836173816365056 = -1 · 237 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 2 -7 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-489794,137136449] |
[a1,a2,a3,a4,a6] |
Generators |
[-383:16575:1] |
Generators of the group modulo torsion |
j |
-21195308337309457/962072674304 |
j-invariant |
L |
7.1952966512718 |
L(r)(E,1)/r! |
Ω |
0.28740779851395 |
Real period |
R |
0.67662561026756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774a1 105966t1 |
Quadratic twists by: -3 29 |