Atkin-Lehner |
3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2601c |
Isogeny class |
Conductor |
2601 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-8076696100659 = -1 · 39 · 177 |
Discriminant |
Eigenvalues |
2 3+ -1 2 -3 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7803,-298465] |
[a1,a2,a3,a4,a6] |
Generators |
[2610:45167:8] |
Generators of the group modulo torsion |
j |
-110592/17 |
j-invariant |
L |
5.7163730657443 |
L(r)(E,1)/r! |
Ω |
0.25184868399748 |
Real period |
R |
5.6744122849989 |
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 |
41616bn1 2601d1 65025m1 127449k1 |
Quadratic twists by: -4 -3 5 -7 |