Atkin-Lehner |
3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
10605b |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5355525 = 3 · 52 · 7 · 1012 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122,459] |
[a1,a2,a3,a4,a6] |
j |
203401212841/5355525 |
j-invariant |
L |
2.4075882103822 |
L(r)(E,1)/r! |
Ω |
2.4075882103822 |
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 |
31815f2 53025p2 74235l2 |
Quadratic twists by: -3 5 -7 |