Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
65072u |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-27437870129152 = -1 · 213 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 2 2 7- -1 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16872,-874768] |
[a1,a2,a3,a4,a6] |
Generators |
[908:27048:1] |
Generators of the group modulo torsion |
j |
-1102302937/56938 |
j-invariant |
L |
11.310905591009 |
L(r)(E,1)/r! |
Ω |
0.20881984180251 |
Real period |
R |
3.3853660329089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8134b1 9296c1 |
Quadratic twists by: -4 -7 |