Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808p |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2817184128565248 = -1 · 222 · 33 · 135 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 1 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120608,-16363020] |
[a1,a2,a3,a4,a6] |
Generators |
[460:5070:1] |
Generators of the group modulo torsion |
j |
-47369163153390625/687789093888 |
j-invariant |
L |
7.6437613395214 |
L(r)(E,1)/r! |
Ω |
0.12798241735479 |
Real period |
R |
1.9908363189012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226d1 125424z1 |
Quadratic twists by: -4 -3 |