Atkin-Lehner |
3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1599a |
Isogeny class |
Conductor |
1599 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
1599 = 3 · 13 · 41 |
Discriminant |
Eigenvalues |
-1 3+ -3 -2 -1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
1.173386105281 |
L(r)(E,1)/r! |
Ω |
2.9404990705323 |
Real period |
R |
0.39904318183258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25584u1 102336bg1 4797a1 39975s1 |
Quadratic twists by: -4 8 -3 5 |