Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730x |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
359723582400 = 26 · 3 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-332850,73774335] |
[a1,a2,a3,a4,a6] |
Generators |
[333:-157:1] |
Generators of the group modulo torsion |
j |
4078208988807294650401/359723582400 |
j-invariant |
L |
4.2863873932156 |
L(r)(E,1)/r! |
Ω |
0.73237537256027 |
Real period |
R |
0.97545319741138 |
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 |
21840cg4 87360ck4 8190n3 13650z4 |
Quadratic twists by: -4 8 -3 5 |