Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104bx |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
325334016 = 210 · 33 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,-555] |
[a1,a2,a3,a4,a6] |
Generators |
[97:940:1] |
Generators of the group modulo torsion |
j |
829898752/317709 |
j-invariant |
L |
5.1998749289049 |
L(r)(E,1)/r! |
Ω |
1.3156285701759 |
Real period |
R |
3.9523882703496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55104bo1 13776r1 |
Quadratic twists by: -4 8 |