Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bo |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.2545085201888E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11815445,-15465473152] |
[a1,a2,a3,a4,a6] |
Generators |
[-2082:11551:1] |
Generators of the group modulo torsion |
j |
1550549616695674282297/19163006232001632 |
j-invariant |
L |
6.5131894454522 |
L(r)(E,1)/r! |
Ω |
0.081491372156796 |
Real period |
R |
0.83255100011786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fj4 6006i3 |
Quadratic twists by: -3 -7 |