Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506y |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-391458291048 = -1 · 23 · 34 · 117 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11- -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,421,-29743] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1036:1] |
Generators of the group modulo torsion |
j |
4657463/220968 |
j-invariant |
L |
4.7865916305473 |
L(r)(E,1)/r! |
Ω |
0.45494745160362 |
Real period |
R |
0.87676639241069 |
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 |
67518m1 2046a1 |
Quadratic twists by: -3 -11 |