Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330u |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5963630610 = 2 · 3 · 5 · 7 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1231,-16717] |
[a1,a2,a3,a4,a6] |
j |
206309829721969/5963630610 |
j-invariant |
L |
3.2296882042925 |
L(r)(E,1)/r! |
Ω |
0.80742205107312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640ce4 45990bf4 76650ba4 107310dl4 |
Quadratic twists by: -4 -3 5 -7 |