Atkin-Lehner |
2- 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cn |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
3888 |
Product of Tamagawa factors cp |
deg |
18579456 |
Modular degree for the optimal curve |
Δ |
2.3223332615372E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-234850116,1175307843600] |
[a1,a2,a3,a4,a6] |
j |
1432504679512464302827718035009/232233326153721446400000000 |
j-invariant |
L |
5.7579525364611 |
L(r)(E,1)/r! |
Ω |
0.053314375337236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
117810bt1 |
Quadratic twists by: -3 |