Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016bd |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1942699705140658176 = -1 · 214 · 33 · 173 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117265,68778671] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:8664:1] |
Generators of the group modulo torsion |
j |
-10884605672501584/118572980050089 |
j-invariant |
L |
8.082049300079 |
L(r)(E,1)/r! |
Ω |
0.22367834598027 |
Real period |
R |
0.86029671040092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62016bt1 3876b1 |
Quadratic twists by: -4 8 |