Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506ba |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
3397081313047200768 = 210 · 311 · 117 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4872128,-4140372895] |
[a1,a2,a3,a4,a6] |
j |
7219775199978393625/1917563839488 |
j-invariant |
L |
2.0323888308714 |
L(r)(E,1)/r! |
Ω |
0.10161944154357 |
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 |
67518s1 2046b1 |
Quadratic twists by: -3 -11 |