Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730b |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19757817763320 = 23 · 3 · 5 · 78 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9093,-260043] |
[a1,a2,a3,a4,a6] |
j |
83161039719198169/19757817763320 |
j-invariant |
L |
0.99462611586368 |
L(r)(E,1)/r! |
Ω |
0.49731305793184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840ca3 87360cw3 8190bq3 13650ct4 |
Quadratic twists by: -4 8 -3 5 |