Atkin-Lehner |
2+ 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10934b |
Isogeny class |
Conductor |
10934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1683836 = 22 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183274,30123240] |
[a1,a2,a3,a4,a6] |
j |
680816371007788184233/1683836 |
j-invariant |
L |
2.4702610747463 |
L(r)(E,1)/r! |
Ω |
1.2351305373732 |
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 |
87472g2 98406j2 76538q2 120274s2 |
Quadratic twists by: -4 -3 -7 -11 |