Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400hc |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
161468743680000 = 218 · 34 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 -1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48833,-4092063] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:180:1] |
Generators of the group modulo torsion |
j |
78605490625/985527 |
j-invariant |
L |
6.3865764646008 |
L(r)(E,1)/r! |
Ω |
0.321402897684 |
Real period |
R |
1.6559113374113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fh1 27600df1 110400io1 |
Quadratic twists by: -4 8 5 |