Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968p |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1651261089746944 = -1 · 212 · 136 · 174 |
Discriminant |
Eigenvalues |
2- 0 2 4 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1859,1955330] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:850:1] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
7.8025073842781 |
L(r)(E,1)/r! |
Ω |
0.38076550689692 |
Real period |
R |
2.5614542424869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873a4 272b4 |
Quadratic twists by: -4 13 |