Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344w |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-12365636500224 = -1 · 28 · 32 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -4 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22409,-1309701] |
[a1,a2,a3,a4,a6] |
Generators |
[255:3102:1] |
Generators of the group modulo torsion |
j |
-17210368/171 |
j-invariant |
L |
7.7497533423094 |
L(r)(E,1)/r! |
Ω |
0.19498671935017 |
Real period |
R |
4.9681289629217 |
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 |
44688r1 67032ck1 22344b1 |
Quadratic twists by: -4 -3 -7 |