Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50600d |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-40480000000 = -1 · 211 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-47312] |
[a1,a2,a3,a4,a6] |
Generators |
[634:4125:8] |
Generators of the group modulo torsion |
j |
-48275138/1265 |
j-invariant |
L |
3.0344479431526 |
L(r)(E,1)/r! |
Ω |
0.3402268993231 |
Real period |
R |
4.4594474293066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200a1 10120f1 |
Quadratic twists by: -4 5 |