Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136y |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3365386113024 = -1 · 212 · 39 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,93312] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:351:1] |
Generators of the group modulo torsion |
j |
-8489664/41743 |
j-invariant |
L |
8.4831789610054 |
L(r)(E,1)/r! |
Ω |
0.6886521234027 |
Real period |
R |
1.0265438181994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136z1 71136e1 |
Quadratic twists by: -4 -3 |