Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244t |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-1244640805632 = -1 · 28 · 39 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1680,46676] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1917:8] |
Generators of the group modulo torsion |
j |
57344000/136107 |
j-invariant |
L |
6.9188319391132 |
L(r)(E,1)/r! |
Ω |
0.60097314157993 |
Real period |
R |
1.4390892632839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999632247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748b1 125244h1 |
Quadratic twists by: -3 -7 |