Atkin-Lehner |
2- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51262f |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-213776483264 = -1 · 26 · 196 · 71 |
Discriminant |
Eigenvalues |
2- 0 2 0 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-429,22613] |
[a1,a2,a3,a4,a6] |
Generators |
[309:5260:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
11.36017732927 |
L(r)(E,1)/r! |
Ω |
0.83694499183624 |
Real period |
R |
2.2622309789431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
142c1 |
Quadratic twists by: -19 |