Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cz |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1230614691497498034 = -1 · 2 · 35 · 79 · 137 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 13+ 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-898661,332140899] |
[a1,a2,a3,a4,a6] |
j |
-141339344329/2167074 |
j-invariant |
L |
5.4721031220855 |
L(r)(E,1)/r! |
Ω |
0.27360515611765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098u1 3822l1 |
Quadratic twists by: -7 13 |