Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400fh |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
144 |
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 |
[-213:2208:1] [-167:2760:1] |
Generators of the group modulo torsion |
j |
78605490625/985527 |
j-invariant |
L |
13.01939527308 |
L(r)(E,1)/r! |
Ω |
0.57686984152693 |
Real period |
R |
0.15672940523435 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400hc1 1725l1 110400n1 |
Quadratic twists by: -4 8 5 |