Atkin-Lehner |
2+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
11536b |
Isogeny class |
Conductor |
11536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-1292032 = -1 · 28 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-26] |
[a1,a2,a3,a4,a6] |
j |
6750000/5047 |
j-invariant |
L |
1.5212047258812 |
L(r)(E,1)/r! |
Ω |
1.5212047258812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5768b1 46144n1 103824j1 80752b1 |
Quadratic twists by: -4 8 -3 -7 |