Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714g |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.917552495857E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12060738,210063360820] |
[a1,a2,a3,a4,a6] |
Generators |
[1384182828:347556680197:21952] |
Generators of the group modulo torsion |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
3.202357197422 |
L(r)(E,1)/r! |
Ω |
0.052630118180119 |
Real period |
R |
15.211618879711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238i2 3978i2 |
Quadratic twists by: -3 13 |