Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30528u |
Isogeny class |
Conductor |
30528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6114581581824 = 212 · 312 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34356,-2448160] |
[a1,a2,a3,a4,a6] |
Generators |
[-146366:10640:1331] |
Generators of the group modulo torsion |
j |
1501910377408/2047761 |
j-invariant |
L |
5.290132422171 |
L(r)(E,1)/r! |
Ω |
0.35069894941123 |
Real period |
R |
7.542270130909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30528v2 15264d1 10176a2 |
Quadratic twists by: -4 8 -3 |