Atkin-Lehner |
3+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263k |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.258680692593E+18 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15770779,-24112276580] |
[a1,a2,a3,a4,a6] |
Generators |
[-6948639900869965558565712914760:1633666593859575564644336677225:3025745328446556666465033728] |
Generators of the group modulo torsion |
j |
244865207835604217233/5226283877661 |
j-invariant |
L |
7.2716472230462 |
L(r)(E,1)/r! |
Ω |
0.075759451339813 |
Real period |
R |
47.991683405017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9933a4 |
Quadratic twists by: -11 |