Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048f |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
147761008469118352 = 24 · 711 · 115 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5410204,4841765137] |
[a1,a2,a3,a4,a6] |
Generators |
[1248:5929:1] |
Generators of the group modulo torsion |
j |
9303717032993037568/78496740553 |
j-invariant |
L |
4.6444455585995 |
L(r)(E,1)/r! |
Ω |
0.29289386856717 |
Real period |
R |
0.79285467870557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000166751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864c1 |
Quadratic twists by: -7 |