Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bx |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-503808000 = -1 · 215 · 3 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,705] |
[a1,a2,a3,a4,a6] |
Generators |
[5:40:1] |
Generators of the group modulo torsion |
j |
13481272/15375 |
j-invariant |
L |
5.7804484386314 |
L(r)(E,1)/r! |
Ω |
1.1013934201268 |
Real period |
R |
1.3120762147746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360cu1 19680m1 118080fs1 |
Quadratic twists by: -4 8 -3 |