Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775co |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
1165219860001640625 = 37 · 57 · 79 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1990651,1079623073] |
[a1,a2,a3,a4,a6] |
j |
1383586741207/1848015 |
j-invariant |
L |
3.8306611982099 |
L(r)(E,1)/r! |
Ω |
0.2736186569684 |
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 |
9555d1 47775j1 |
Quadratic twists by: 5 -7 |