Atkin-Lehner |
2- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51262f |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1897266288968 = 23 · 196 · 712 |
Discriminant |
Eigenvalues |
2- 0 2 0 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14869,698405] |
[a1,a2,a3,a4,a6] |
Generators |
[8571:138296:27] |
Generators of the group modulo torsion |
j |
7727161833/40328 |
j-invariant |
L |
11.36017732927 |
L(r)(E,1)/r! |
Ω |
0.83694499183624 |
Real period |
R |
4.5244619578862 |
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 |
142c2 |
Quadratic twists by: -19 |