Atkin-Lehner |
11- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83369d |
Isogeny class |
Conductor |
83369 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-711613023407 = -1 · 117 · 13 · 532 |
Discriminant |
Eigenvalues |
1 0 0 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1777,50232] |
[a1,a2,a3,a4,a6] |
Generators |
[13844:192941:64] |
Generators of the group modulo torsion |
j |
-350402625/401687 |
j-invariant |
L |
5.1059757797015 |
L(r)(E,1)/r! |
Ω |
0.81896216785164 |
Real period |
R |
6.2346906535752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7579c1 |
Quadratic twists by: -11 |