Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bh |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
256988160 = 210 · 33 · 5 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3507,79934] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:312:1] [50:172:1] |
Generators of the group modulo torsion |
j |
172531059372/9295 |
j-invariant |
L |
9.3556369463907 |
L(r)(E,1)/r! |
Ω |
1.6525463005797 |
Real period |
R |
2.8306731687669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960i2 51480a2 |
Quadratic twists by: -4 -3 |