Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730j |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7522842600 = -1 · 23 · 310 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,378,-2916] |
[a1,a2,a3,a4,a6] |
j |
5948434379159/7522842600 |
j-invariant |
L |
1.4120246116759 |
L(r)(E,1)/r! |
Ω |
0.70601230583795 |
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 |
21840cf2 87360cg2 8190bk2 13650cl2 |
Quadratic twists by: -4 8 -3 5 |