Atkin-Lehner |
5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4945a |
Isogeny class |
Conductor |
4945 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-686547332763671875 = -1 · 515 · 233 · 432 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 0 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,220169,2922506] |
[a1,a2,a3,a4,a6] |
j |
1180294135319896948736/686547332763671875 |
j-invariant |
L |
0.34548037680728 |
L(r)(E,1)/r! |
Ω |
0.17274018840364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79120p2 44505n2 24725e2 113735h2 |
Quadratic twists by: -4 -3 5 -23 |