Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22022d |
Isogeny class |
Conductor |
22022 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-216047631132196864 = -1 · 216 · 7 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 11- 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-251198,53265524] |
[a1,a2,a3,a4,a6] |
Generators |
[1132:34378:1] |
Generators of the group modulo torsion |
j |
-8177743116169/1007878144 |
j-invariant |
L |
4.7881179521491 |
L(r)(E,1)/r! |
Ω |
0.30628696427882 |
Real period |
R |
2.6054639986737 |
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 |
22022u1 |
Quadratic twists by: -11 |