Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710p |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9954677250000 = 24 · 39 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14933,-682019] |
[a1,a2,a3,a4,a6] |
j |
18708817969323/505750000 |
j-invariant |
L |
3.460762771972 |
L(r)(E,1)/r! |
Ω |
0.43259534649649 |
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 |
85680ct2 10710d2 53550h2 74970cj2 |
Quadratic twists by: -4 -3 5 -7 |