Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cp |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-1.9068817295025E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1207154,425308676] |
[a1,a2,a3,a4,a6] |
Generators |
[428:-32158:1] |
Generators of the group modulo torsion |
j |
109813469243970311/107638502400000 |
j-invariant |
L |
10.062340584415 |
L(r)(E,1)/r! |
Ω |
0.11791870702241 |
Real period |
R |
0.32820330986721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290j1 |
Quadratic twists by: -11 |