Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506w |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
508219329024 = 29 · 37 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7565,-254077] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:68:1] |
Generators of the group modulo torsion |
j |
3270268089121/34712064 |
j-invariant |
L |
7.5869875511857 |
L(r)(E,1)/r! |
Ω |
0.51224235742845 |
Real period |
R |
0.54856755763712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518k1 22506c1 |
Quadratic twists by: -3 -11 |