Atkin-Lehner |
5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87725ba |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-198751953125 = -1 · 59 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 -1 5- 1 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,487,-20844] |
[a1,a2,a3,a4,a6] |
Generators |
[235:3507:1] |
Generators of the group modulo torsion |
j |
54043/841 |
j-invariant |
L |
2.8158339794485 |
L(r)(E,1)/r! |
Ω |
0.49086686993001 |
Real period |
R |
1.4341128693944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87725z1 87725bb1 |
Quadratic twists by: 5 -11 |