Atkin-Lehner |
2- 3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550cb |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
20045991425625000 = 23 · 310 · 57 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-653813,203314617] |
[a1,a2,a3,a4,a6] |
Generators |
[532:-2741:1] |
Generators of the group modulo torsion |
j |
1978173512057441161/1282943451240 |
j-invariant |
L |
12.660612565427 |
L(r)(E,1)/r! |
Ω |
0.3807399714132 |
Real period |
R |
0.55421081310302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110b2 |
Quadratic twists by: 5 |