Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fr |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.7703407834713E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9047135,23052934465] |
[a1,a2,a3,a4,a6] |
Generators |
[-189720:-9538529:125] |
Generators of the group modulo torsion |
j |
312404265277724598551/1056801141155738160 |
j-invariant |
L |
6.0925725624084 |
L(r)(E,1)/r! |
Ω |
0.069224168705972 |
Real period |
R |
7.3343514266384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360db3 21840bw3 |
Quadratic twists by: -4 8 |