Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796p |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-76644815104 = -1 · 28 · 116 · 132 |
Discriminant |
Eigenvalues |
2- -2 3 -4 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-524,13924] |
[a1,a2,a3,a4,a6] |
Generators |
[40:242:1] |
Generators of the group modulo torsion |
j |
-208 |
j-invariant |
L |
3.8391793143541 |
L(r)(E,1)/r! |
Ω |
0.9443575886574 |
Real period |
R |
0.67756454443457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
676b1 81796q1 |
Quadratic twists by: -11 13 |