Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6700f |
Isogeny class |
Conductor |
6700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
540 |
Modular degree for the optimal curve |
Δ |
-26800 = -1 · 24 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,2] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
81920/67 |
j-invariant |
L |
5.2465585440733 |
L(r)(E,1)/r! |
Ω |
2.4249679879196 |
Real period |
R |
0.72118595244829 |
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 |
26800u1 107200i1 60300k1 6700i1 |
Quadratic twists by: -4 8 -3 5 |