Atkin-Lehner |
3- 5+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
30885g |
Isogeny class |
Conductor |
30885 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10964175 = 3 · 52 · 29 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 6 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11599,-481753] |
[a1,a2,a3,a4,a6] |
Generators |
[24419982444:77589530897:187149248] |
Generators of the group modulo torsion |
j |
172556583263008489/10964175 |
j-invariant |
L |
8.2622206739179 |
L(r)(E,1)/r! |
Ω |
0.46004350605339 |
Real period |
R |
17.959650696513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92655h2 |
Quadratic twists by: -3 |