Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bx |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-5805051084800 = -1 · 217 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5848,205588] |
[a1,a2,a3,a4,a6] |
Generators |
[54:224:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
5.7728972839303 |
L(r)(E,1)/r! |
Ω |
0.72122359858884 |
Real period |
R |
2.0010775074533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050g1 48400cy3 400b1 |
Quadratic twists by: -4 5 -11 |