Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256o |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4525799687076096 = 28 · 310 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48279,2488970] |
[a1,a2,a3,a4,a6] |
Generators |
[487:9720:1] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
5.4510517126146 |
L(r)(E,1)/r! |
Ω |
0.39863790810691 |
Real period |
R |
3.4185482277962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101723 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752r2 936i2 |
Quadratic twists by: -3 -11 |