Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536q |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-23879463469056 = -1 · 220 · 39 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8120,-364176] |
[a1,a2,a3,a4,a6] |
Generators |
[27980:374656:125] |
Generators of the group modulo torsion |
j |
-14457238157881/5829947136 |
j-invariant |
L |
5.9923193829992 |
L(r)(E,1)/r! |
Ω |
0.24656749999821 |
Real period |
R |
6.0757392834193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942d1 |
Quadratic twists by: -4 |