Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440b |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-615707301073920 = -1 · 210 · 3 · 5 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56616,5339676] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2564:1] |
Generators of the group modulo torsion |
j |
-19599679700268196/601276661205 |
j-invariant |
L |
4.5720841941738 |
L(r)(E,1)/r! |
Ω |
0.51207375838652 |
Real period |
R |
4.4642828491933 |
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 |
44880n1 67320bo1 112200cf1 |
Quadratic twists by: -4 -3 5 |