Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162ca |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-38351432807424 = -1 · 210 · 36 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5422,253905] |
[a1,a2,a3,a4,a6] |
j |
13651919/29696 |
j-invariant |
L |
4.4964585238159 |
L(r)(E,1)/r! |
Ω |
0.44964585336526 |
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 |
7018b1 522f1 |
Quadratic twists by: -3 -11 |