Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840ca |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
33186447360 = 216 · 33 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1160,-12048] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:44:1] |
Generators of the group modulo torsion |
j |
42180533641/8102160 |
j-invariant |
L |
3.6087948213655 |
L(r)(E,1)/r! |
Ω |
0.82891644016523 |
Real period |
R |
2.1768146015028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230u1 |
Quadratic twists by: -4 |