Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730g |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
1153923563520 = 214 · 35 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8127,273861] |
[a1,a2,a3,a4,a6] |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
0.86800851499905 |
L(r)(E,1)/r! |
Ω |
0.86800851499905 |
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 |
21840ci1 87360cc1 8190bg1 13650cu1 |
Quadratic twists by: -4 8 -3 5 |