Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2310i |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1112702976000 = 218 · 32 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9314,-342988] |
[a1,a2,a3,a4,a6] |
j |
89343998142858649/1112702976000 |
j-invariant |
L |
1.4590475709029 |
L(r)(E,1)/r! |
Ω |
0.48634919030095 |
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 |
18480bl3 73920bp3 6930bh3 11550bo3 |
Quadratic twists by: -4 8 -3 5 |