Atkin-Lehner |
2- 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700a |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27944028000000 = 28 · 36 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680708,216393912] |
[a1,a2,a3,a4,a6] |
j |
8720611169506000/6986007 |
j-invariant |
L |
1.1081300726305 |
L(r)(E,1)/r! |
Ω |
0.55406503813925 |
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 |
3108i2 |
Quadratic twists by: 5 |