Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796h |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
121481128912 = 24 · 112 · 137 |
Discriminant |
Eigenvalues |
2- -1 0 4 11- 13+ 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12393,534910] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:676:27] |
Generators of the group modulo torsion |
j |
22528000/13 |
j-invariant |
L |
5.7684023956111 |
L(r)(E,1)/r! |
Ω |
1.0345226926951 |
Real period |
R |
2.7879535343461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81796i1 6292e1 |
Quadratic twists by: -11 13 |