Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bx |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3584433352164268032 = 211 · 312 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383691,-8430554] |
[a1,a2,a3,a4,a6] |
Generators |
[-594:3146:1] |
Generators of the group modulo torsion |
j |
2361864386/1355211 |
j-invariant |
L |
4.1010466982196 |
L(r)(E,1)/r! |
Ω |
0.2082615217257 |
Real period |
R |
2.4614765250035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998144496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752k2 10296c2 |
Quadratic twists by: -3 -11 |