Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bd |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
172749446184960 = 221 · 312 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424225,106208063] |
[a1,a2,a3,a4,a6] |
Generators |
[2402:113805:1] |
Generators of the group modulo torsion |
j |
32208729120020809/658986840 |
j-invariant |
L |
7.5777808285902 |
L(r)(E,1)/r! |
Ω |
0.52712269617102 |
Real period |
R |
4.7919145982739 |
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 |
29760bz4 930a3 89280ba4 |
Quadratic twists by: -4 8 -3 |