Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
2680d |
Isogeny class |
Conductor |
2680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-5360 = -1 · 24 · 5 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
340736/335 |
j-invariant |
L |
2.508281130645 |
L(r)(E,1)/r! |
Ω |
2.8246481321737 |
Real period |
R |
0.44399886521701 |
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 |
5360a1 21440i1 24120k1 13400a1 |
Quadratic twists by: -4 8 -3 5 |