Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344c |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-2510997061826736 = -1 · 24 · 34 · 710 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -3 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11205,-2371032] |
[a1,a2,a3,a4,a6] |
j |
34420736/555579 |
j-invariant |
L |
0.8930954189669 |
L(r)(E,1)/r! |
Ω |
0.22327385474172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688bg1 67032cd1 22344p1 |
Quadratic twists by: -4 -3 -7 |