Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091m |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1530966437 = 77 · 11 · 132 |
Discriminant |
Eigenvalues |
0 2 0 7- 11- 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2123,-36905] |
[a1,a2,a3,a4,a6] |
Generators |
[4324:22459:64] |
Generators of the group modulo torsion |
j |
53248000/77 |
j-invariant |
L |
7.5515327151732 |
L(r)(E,1)/r! |
Ω |
0.70336819406955 |
Real period |
R |
5.368122105278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013b1 91091a1 |
Quadratic twists by: -7 13 |