Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796q |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-369949883347323136 = -1 · 28 · 116 · 138 |
Discriminant |
Eigenvalues |
2- -2 -3 4 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88612,30945396] |
[a1,a2,a3,a4,a6] |
Generators |
[3466:68849:8] |
Generators of the group modulo torsion |
j |
-208 |
j-invariant |
L |
2.8452147360269 |
L(r)(E,1)/r! |
Ω |
0.26191766986752 |
Real period |
R |
5.4315058959477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
676c1 81796p1 |
Quadratic twists by: -11 13 |