Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326h |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31220667526554 = -1 · 2 · 320 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-959,269313] |
[a1,a2,a3,a4,a6] |
j |
-133667977897/42826704426 |
j-invariant |
L |
4.2876462953853 |
L(r)(E,1)/r! |
Ω |
0.53595578692317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608bp2 2442b2 80586o2 |
Quadratic twists by: -4 -3 -11 |