Atkin-Lehner |
2+ 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042f |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
978804 = 22 · 35 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45,100] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] [-1:12:1] |
Generators of the group modulo torsion |
j |
9759185353/978804 |
j-invariant |
L |
3.7092785093247 |
L(r)(E,1)/r! |
Ω |
2.702261951756 |
Real period |
R |
0.13726568983864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48336bc1 18126m1 114798s1 |
Quadratic twists by: -4 -3 -19 |