Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11590l |
Isogeny class |
Conductor |
11590 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-1027029102016000 = -1 · 29 · 53 · 19 · 615 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 1 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17306,-1780697] |
[a1,a2,a3,a4,a6] |
Generators |
[167:63:1] |
Generators of the group modulo torsion |
j |
-573212138682372769/1027029102016000 |
j-invariant |
L |
8.7249182132738 |
L(r)(E,1)/r! |
Ω |
0.19635175853923 |
Real period |
R |
4.9372379664057 |
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 |
92720n1 104310bd1 57950n1 |
Quadratic twists by: -4 -3 5 |