Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244z |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-157771369728 = -1 · 28 · 311 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,609,18214] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-162:1] |
Generators of the group modulo torsion |
j |
2731568/17253 |
j-invariant |
L |
3.7600210165928 |
L(r)(E,1)/r! |
Ω |
0.74241416313808 |
Real period |
R |
0.42204890363251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748o1 125244j1 |
Quadratic twists by: -3 -7 |