Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
1136f |
Isogeny class |
Conductor |
1136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
2326528 = 215 · 71 |
Discriminant |
Eigenvalues |
2- -1 0 1 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-512] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] |
Generators of the group modulo torsion |
j |
57066625/568 |
j-invariant |
L |
2.2311040045472 |
L(r)(E,1)/r! |
Ω |
1.4193048765039 |
Real period |
R |
0.7859847596814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
142d1 4544o1 10224l1 28400q1 |
Quadratic twists by: -4 8 -3 5 |