Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048bg |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-8935429888 = -1 · 28 · 73 · 112 · 292 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-4544] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-154:1] |
Generators of the group modulo torsion |
j |
2000/101761 |
j-invariant |
L |
3.332178261953 |
L(r)(E,1)/r! |
Ω |
0.59926240681948 |
Real period |
R |
0.69505825891704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999942998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125048bf1 |
Quadratic twists by: -7 |