Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dw |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3615741360000000000 = 213 · 32 · 510 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13196408,-18446876688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2092:264:1] |
Generators of the group modulo torsion |
j |
3971101377248209009/56495958750 |
j-invariant |
L |
4.3308524463724 |
L(r)(E,1)/r! |
Ω |
0.079211089914864 |
Real period |
R |
1.708588267237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550z3 18480ct3 |
Quadratic twists by: -4 5 |