Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244bb |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-621224768304 = -1 · 24 · 313 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2856,-69923] |
[a1,a2,a3,a4,a6] |
Generators |
[63:14:1] |
Generators of the group modulo torsion |
j |
-643956736/155277 |
j-invariant |
L |
9.2398282407134 |
L(r)(E,1)/r! |
Ω |
0.3224274397306 |
Real period |
R |
3.5821347143282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748p1 125244be1 |
Quadratic twists by: -3 -7 |