Atkin-Lehner |
5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6325g |
Isogeny class |
Conductor |
6325 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
2315108125 = 54 · 115 · 23 |
Discriminant |
Eigenvalues |
2 1 5- -3 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2758,-56631] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:51:8] |
Generators of the group modulo torsion |
j |
3713504358400/3704173 |
j-invariant |
L |
8.2804670393178 |
L(r)(E,1)/r! |
Ω |
0.6588156032586 |
Real period |
R |
0.83791448354304 |
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 |
101200ch1 56925bg1 6325d2 69575y1 |
Quadratic twists by: -4 -3 5 -11 |