Atkin-Lehner |
2- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
10270f |
Isogeny class |
Conductor |
10270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
23832369437500 = 22 · 56 · 136 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -2 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7407,-69061] |
[a1,a2,a3,a4,a6] |
j |
44936141301085761/23832369437500 |
j-invariant |
L |
3.2788991772764 |
L(r)(E,1)/r! |
Ω |
0.54648319621273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82160m2 92430k2 51350f2 |
Quadratic twists by: -4 -3 5 |