Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675w |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-277567291875 = -1 · 3 · 54 · 236 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 -2 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4408,116943] |
[a1,a2,a3,a4,a6] |
Generators |
[-534:2641:8] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
10.937532665361 |
L(r)(E,1)/r! |
Ω |
0.97366488501941 |
Real period |
R |
1.872227435682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025cw1 39675bi2 75a1 |
Quadratic twists by: -3 5 -23 |