Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200l |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
54589136000000 = 210 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12608,-417212] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:196:1] [-72:350:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
7.8289568965021 |
L(r)(E,1)/r! |
Ω |
0.45865065363482 |
Real period |
R |
0.71123094401552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40600a2 3248a2 |
Quadratic twists by: -4 5 |