Atkin-Lehner |
3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1599b |
Isogeny class |
Conductor |
1599 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-2560979187 = -1 · 37 · 134 · 41 |
Discriminant |
Eigenvalues |
2 3+ 0 -2 -1 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,272,1629] |
[a1,a2,a3,a4,a6] |
Generators |
[138:841:8] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
4.3081026736874 |
L(r)(E,1)/r! |
Ω |
0.96277645478628 |
Real period |
R |
2.237332795308 |
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 |
25584t1 102336be1 4797b1 39975u1 |
Quadratic twists by: -4 8 -3 5 |