Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ci |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
205846510018500 = 22 · 38 · 53 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23607,1219401] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1581:1] |
Generators of the group modulo torsion |
j |
3307949/468 |
j-invariant |
L |
3.4160910327426 |
L(r)(E,1)/r! |
Ω |
0.54124345593725 |
Real period |
R |
0.78894511206533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350dg1 76050fr1 5850bu1 |
Quadratic twists by: -3 5 13 |