Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730b |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5843073600 = 26 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8493,-304803] |
[a1,a2,a3,a4,a6] |
j |
67762119444423769/5843073600 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
21840ca2 87360cw2 8190bq2 13650ct2 |
Quadratic twists by: -4 8 -3 5 |