Atkin-Lehner |
7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
3479g |
Isogeny class |
Conductor |
3479 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
204 |
Modular degree for the optimal curve |
Δ |
3479 = 72 · 71 |
Discriminant |
Eigenvalues |
1 -2 -3 7- 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
208537/71 |
j-invariant |
L |
2.3234652935586 |
L(r)(E,1)/r! |
Ω |
3.364521714658 |
Real period |
R |
0.6905781833525 |
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 |
55664o1 31311d1 86975q1 3479a1 |
Quadratic twists by: -4 -3 5 -7 |