Atkin-Lehner |
2+ 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842l |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1872530962781904 = -1 · 24 · 36 · 294 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -3 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12060,-2140448] |
[a1,a2,a3,a4,a6] |
Generators |
[164:440:1] |
Generators of the group modulo torsion |
j |
-266108264948161/2568629578576 |
j-invariant |
L |
3.9241411725199 |
L(r)(E,1)/r! |
Ω |
0.1986219041162 |
Real period |
R |
1.2348024976087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3538d1 |
Quadratic twists by: -3 |