Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bn |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.0467259399785E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73377255,241930129322] |
[a1,a2,a3,a4,a6] |
Generators |
[4867:9540:1] |
Generators of the group modulo torsion |
j |
1989996724085074000/1843096437 |
j-invariant |
L |
6.3961458734528 |
L(r)(E,1)/r! |
Ω |
0.17076216797815 |
Real period |
R |
4.6820571772353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bh2 15288e2 6552t2 |
Quadratic twists by: -4 -3 -7 |