Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95200bb |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-33320000000 = -1 · 29 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,21688] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-50:1] |
Generators of the group modulo torsion |
j |
-38614472/4165 |
j-invariant |
L |
8.9876841876427 |
L(r)(E,1)/r! |
Ω |
1.1354353910839 |
Real period |
R |
0.98945349985708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200a1 19040b1 |
Quadratic twists by: -4 5 |