Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7326c |
Isogeny class |
Conductor |
7326 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
160849817172 = 22 · 38 · 112 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9725382,11676120624] |
[a1,a2,a3,a4,a6] |
Generators |
[-3120:109452:1] |
Generators of the group modulo torsion |
j |
139545621883503188502625/220644468 |
j-invariant |
L |
2.5414983798744 |
L(r)(E,1)/r! |
Ω |
0.46371425238847 |
Real period |
R |
4.1105568247856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
58608bo4 2442i4 80586bg4 |
Quadratic twists by: -4 -3 -11 |