Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270a |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-86048075520 = -1 · 28 · 34 · 5 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,187,14157] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:110:1] |
Generators of the group modulo torsion |
j |
717157709351/86048075520 |
j-invariant |
L |
2.4193107786684 |
L(r)(E,1)/r! |
Ω |
0.82771695723029 |
Real period |
R |
0.48714534550634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160br1 18810bb1 31350cf1 68970bk1 |
Quadratic twists by: -4 -3 5 -11 |