Atkin-Lehner |
2- 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6118g |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
43853824 = 211 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ -3 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114,369] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:19:1] [-3:27:1] |
Generators of the group modulo torsion |
j |
162503178993/43853824 |
j-invariant |
L |
4.189038367582 |
L(r)(E,1)/r! |
Ω |
1.891895419128 |
Real period |
R |
0.1006455393702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48944bb1 55062i1 42826r1 116242d1 |
Quadratic twists by: -4 -3 -7 -19 |