Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dp |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2837769115123712 = 214 · 76 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264593,52235215] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:10120:1] [-38:7889:1] |
Generators of the group modulo torsion |
j |
125037552879538000/173203681343 |
j-invariant |
L |
7.7656483374175 |
L(r)(E,1)/r! |
Ω |
0.45193790410048 |
Real period |
R |
1.4319165431972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bb4 28336r4 |
Quadratic twists by: -4 8 |