Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400d |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.349591502642E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81647075,-283824677250] |
[a1,a2,a3,a4,a6] |
Generators |
[1377666:-1616987064:1] |
Generators of the group modulo torsion |
j |
1881029584733429900898/1046747344575625 |
j-invariant |
L |
4.672009327561 |
L(r)(E,1)/r! |
Ω |
0.05022603587922 |
Real period |
R |
7.751639240778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800a4 123200bh4 3080c3 107800l4 |
Quadratic twists by: -4 8 5 -7 |