Atkin-Lehner |
3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2601g |
Isogeny class |
Conductor |
2601 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-8076696100659 = -1 · 39 · 177 |
Discriminant |
Eigenvalues |
0 3- 3 4 -3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1734,133879] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
2.1874361264456 |
L(r)(E,1)/r! |
Ω |
0.54685903161139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616cn1 867a1 65025bi1 127449bc1 |
Quadratic twists by: -4 -3 5 -7 |