Atkin-Lehner |
2+ 3- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22110j |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
249047040000 = 214 · 3 · 54 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11738,-489844] |
[a1,a2,a3,a4,a6] |
j |
178835132364370201/249047040000 |
j-invariant |
L |
1.8348550946911 |
L(r)(E,1)/r! |
Ω |
0.45871377367278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330bl1 110550bp1 |
Quadratic twists by: -3 5 |