Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cz |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
161838611940096 = 28 · 310 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19812,875160] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1350:1] |
Generators of the group modulo torsion |
j |
28556329552/5373459 |
j-invariant |
L |
7.8856680143341 |
L(r)(E,1)/r! |
Ω |
0.546125088266 |
Real period |
R |
2.8878614748764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7644c2 122304fj2 91728fq2 4368s2 |
Quadratic twists by: -4 8 -3 -7 |