Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368m |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33546240 |
Modular degree for the optimal curve |
Δ |
-2.4522465151642E+27 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 1 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220182627,-2694050819138] |
[a1,a2,a3,a4,a6] |
Generators |
[1833402879109033783447393038466666:305563232987961339424653479429500581:50958695081718223708384765736] |
Generators of the group modulo torsion |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
7.0889010399282 |
L(r)(E,1)/r! |
Ω |
0.018386695227751 |
Real period |
R |
48.193142868524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456y1 15624i1 |
Quadratic twists by: -3 -7 |