Atkin-Lehner |
2- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3904j |
Isogeny class |
Conductor |
3904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-15990784 = -1 · 218 · 61 |
Discriminant |
Eigenvalues |
2- -2 3 -1 -5 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,-641] |
[a1,a2,a3,a4,a6] |
Generators |
[15:32:1] |
Generators of the group modulo torsion |
j |
-912673/61 |
j-invariant |
L |
2.8504735163925 |
L(r)(E,1)/r! |
Ω |
0.70513075600203 |
Real period |
R |
1.0106187725218 |
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 |
3904c1 976b1 35136cr1 97600cg1 |
Quadratic twists by: -4 8 -3 5 |