Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730w |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4478906250 = 2 · 32 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61165,-5847895] |
[a1,a2,a3,a4,a6] |
j |
25306558948218234961/4478906250 |
j-invariant |
L |
2.4286434708265 |
L(r)(E,1)/r! |
Ω |
0.30358043385331 |
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 |
21840ck6 87360bw6 8190k5 13650be5 |
Quadratic twists by: -4 8 -3 5 |