Atkin-Lehner |
2- 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792be |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-745516224 = -1 · 26 · 36 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -5 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109,-1349] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/11648691 |
j-invariant |
L |
2.6617205236624 |
L(r)(E,1)/r! |
Ω |
0.66543019538422 |
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 |
105792w1 26448u1 |
Quadratic twists by: -4 8 |