Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cx |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-364092804038656000 = -1 · 225 · 53 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,156340,-16634000] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:59136:1] |
Generators of the group modulo torsion |
j |
12896863402851/11111230592 |
j-invariant |
L |
4.6878923434364 |
L(r)(E,1)/r! |
Ω |
0.1664916811857 |
Real period |
R |
1.1732048396388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hk2 3850h2 123200dl2 |
Quadratic twists by: -4 8 5 |