Atkin-Lehner |
2+ 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22914b |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
8552604672 = 210 · 38 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2052,-34992] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:27:1] [57:147:1] |
Generators of the group modulo torsion |
j |
1311134658625/11731968 |
j-invariant |
L |
5.5526549190392 |
L(r)(E,1)/r! |
Ω |
0.70970814575717 |
Real period |
R |
3.9119284118657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638i1 |
Quadratic twists by: -3 |