Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3003a |
Isogeny class |
Conductor |
3003 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19792773 = 32 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3699,85068] |
[a1,a2,a3,a4,a6] |
j |
5599640476399033/19792773 |
j-invariant |
L |
1.896010432754 |
L(r)(E,1)/r! |
Ω |
1.896010432754 |
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 |
48048cr4 9009d3 75075bs4 21021p4 |
Quadratic twists by: -4 -3 5 -7 |