Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74052u |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
215935632 = 24 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6501,-201751] |
[a1,a2,a3,a4,a6] |
Generators |
[104:497:1] |
Generators of the group modulo torsion |
j |
21529370368/153 |
j-invariant |
L |
5.3320616656011 |
L(r)(E,1)/r! |
Ω |
0.53168535535422 |
Real period |
R |
5.0143017967948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684b1 74052l1 |
Quadratic twists by: -3 -11 |