Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368b |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-5343819264 = -1 · 29 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -2 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531,-5878] |
[a1,a2,a3,a4,a6] |
Generators |
[6770:44058:125] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
6.7421132779388 |
L(r)(E,1)/r! |
Ω |
0.48923176910311 |
Real period |
R |
6.8905104939362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368h1 92736cx1 46368be1 |
Quadratic twists by: -4 8 -3 |