Atkin-Lehner |
3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
6225b |
Isogeny class |
Conductor |
6225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-3063166875 = -1 · 310 · 54 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 3 3 -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2100,-38025] |
[a1,a2,a3,a4,a6] |
Generators |
[510:2175:8] |
Generators of the group modulo torsion |
j |
-1639927598425/4901067 |
j-invariant |
L |
4.3864416657507 |
L(r)(E,1)/r! |
Ω |
0.35254136520729 |
Real period |
R |
2.0737243430387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600di1 18675p1 6225f1 |
Quadratic twists by: -4 -3 5 |