Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fo |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-850159800000000000 = -1 · 212 · 36 · 511 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1439472,666220336] |
[a1,a2,a3,a4,a6] |
Generators |
[857:7875:1] |
Generators of the group modulo torsion |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
7.7532898352655 |
L(r)(E,1)/r! |
Ω |
0.2822950349948 |
Real period |
R |
0.41613940658071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5355l1 9520i1 |
Quadratic twists by: -4 -3 |