Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400f |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16141702500000000 = 28 · 32 · 510 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104508,11512512] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:4200:1] |
Generators of the group modulo torsion |
j |
31558509702736/4035425625 |
j-invariant |
L |
3.6255431514408 |
L(r)(E,1)/r! |
Ω |
0.3775985443507 |
Real period |
R |
2.4003953366887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031557 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200bo2 18480bf2 |
Quadratic twists by: -4 5 |