Atkin-Lehner |
3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6417g |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
600 |
Modular degree for the optimal curve |
Δ |
-519777 = -1 · 36 · 23 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 -3 4 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-2:1] |
Generators of the group modulo torsion |
j |
-15625/713 |
j-invariant |
L |
2.3256131587247 |
L(r)(E,1)/r! |
Ω |
1.2840092694959 |
Real period |
R |
1.8112121259356 |
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 |
102672bu1 713a1 |
Quadratic twists by: -4 -3 |