Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6460f |
Isogeny class |
Conductor |
6460 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-16150000 = -1 · 24 · 55 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -2 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30,193] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-25:1] |
Generators of the group modulo torsion |
j |
180472064/1009375 |
j-invariant |
L |
2.543661632403 |
L(r)(E,1)/r! |
Ω |
1.5899384416892 |
Real period |
R |
0.10665660865463 |
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 |
25840bc1 103360m1 58140e1 32300i1 |
Quadratic twists by: -4 8 -3 5 |