Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684v |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5.7221566955379E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12928503,-13699759570] |
[a1,a2,a3,a4,a6] |
Generators |
[-1265:25110:1] |
Generators of the group modulo torsion |
j |
10884605672501584/2606177629503 |
j-invariant |
L |
8.2726430058013 |
L(r)(E,1)/r! |
Ω |
0.081002132672587 |
Real period |
R |
4.2553627565366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228i2 7812i2 |
Quadratic twists by: -3 -7 |