Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714v |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
1.0867089533361E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2690681,609260825] |
[a1,a2,a3,a4,a6] |
j |
612241204436497/308834353152 |
j-invariant |
L |
3.8399461772919 |
L(r)(E,1)/r! |
Ω |
0.1371409349255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238d1 3978d1 |
Quadratic twists by: -3 13 |