Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686bd |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-322767327709008 = -1 · 24 · 38 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13186,1041380] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1013:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
5.851282419915 |
L(r)(E,1)/r! |
Ω |
0.49020881881094 |
Real period |
R |
0.18650477980569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686b1 3822bf1 |
Quadratic twists by: -7 13 |