Atkin-Lehner |
2+ 3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110b |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1282943451240 = 23 · 310 · 5 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26152,1616056] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-31:1] |
Generators of the group modulo torsion |
j |
1978173512057441161/1282943451240 |
j-invariant |
L |
3.887246353594 |
L(r)(E,1)/r! |
Ω |
0.85136045783125 |
Real period |
R |
2.2829615339995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330bk2 110550cb2 |
Quadratic twists by: -3 5 |