Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190ba |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
48384000 |
Modular degree for the optimal curve |
Δ |
-2.6833884222203E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,106773906,7869896630176] |
[a1,a2,a3,a4,a6] |
Generators |
[130118:47102253:1] |
Generators of the group modulo torsion |
j |
75991146714893572533071/15147028085515223040000 |
j-invariant |
L |
5.9935301948362 |
L(r)(E,1)/r! |
Ω |
0.028995475402729 |
Real period |
R |
3.4450950890208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290y1 |
Quadratic twists by: -11 |