Atkin-Lehner |
2- 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81700m |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-1552300000000 = -1 · 28 · 58 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -5 -7 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4333,126537] |
[a1,a2,a3,a4,a6] |
Generators |
[1416:5453:27] |
Generators of the group modulo torsion |
j |
-89989120/15523 |
j-invariant |
L |
7.8591440195552 |
L(r)(E,1)/r! |
Ω |
0.81470775586747 |
Real period |
R |
4.8232902911213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81700f1 |
Quadratic twists by: 5 |