Atkin-Lehner |
2+ 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744a |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
499712 |
Modular degree for the optimal curve |
Δ |
-26735567616 = -1 · 28 · 37 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-635412,-194953588] |
[a1,a2,a3,a4,a6] |
j |
-152027605648743424/143259 |
j-invariant |
L |
3.0437442490088 |
L(r)(E,1)/r! |
Ω |
0.084548460837761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64872g1 43248b1 |
Quadratic twists by: -4 -3 |