Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752n |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1241309380656863232 = 211 · 32 · 119 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281728,-20866580] |
[a1,a2,a3,a4,a6] |
Generators |
[-1798:44577:8] |
Generators of the group modulo torsion |
j |
512095750/257049 |
j-invariant |
L |
4.5918707239633 |
L(r)(E,1)/r! |
Ω |
0.21837742553179 |
Real period |
R |
5.256805634534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504m2 113256j2 37752a2 |
Quadratic twists by: -4 -3 -11 |