Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506k |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-569516460327936 = -1 · 210 · 314 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1596433,776247140] |
[a1,a2,a3,a4,a6] |
Generators |
[811:3482:1] |
Generators of the group modulo torsion |
j |
-3718690552005865823761/4706747606016 |
j-invariant |
L |
5.2260937224905 |
L(r)(E,1)/r! |
Ω |
0.43794943705079 |
Real period |
R |
0.21309104269155 |
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 |
67518bm1 22506bh1 |
Quadratic twists by: -3 -11 |