Atkin-Lehner |
2- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
4150n |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-518750000 = -1 · 24 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- -3 3 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4680,-122053] |
[a1,a2,a3,a4,a6] |
Generators |
[83:195:1] |
Generators of the group modulo torsion |
j |
-29014442865/1328 |
j-invariant |
L |
4.9481622362133 |
L(r)(E,1)/r! |
Ω |
0.28861184637596 |
Real period |
R |
4.2861738857451 |
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 |
33200bk1 37350bb1 4150a1 |
Quadratic twists by: -4 -3 5 |