Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24208b |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-3098624 = -1 · 211 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 1 3 2 2 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-76] |
[a1,a2,a3,a4,a6] |
j |
207646/1513 |
j-invariant |
L |
5.0298251671725 |
L(r)(E,1)/r! |
Ω |
1.2574562917931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12104b1 96832y1 |
Quadratic twists by: -4 8 |