Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4738651979120640000 = 220 · 311 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812191323,8909136883978] |
[a1,a2,a3,a4,a6] |
Generators |
[97679:29352150:1] |
Generators of the group modulo torsion |
j |
19843180007106582309156121/1586964960000 |
j-invariant |
L |
4.3282854640243 |
L(r)(E,1)/r! |
Ω |
0.13573569564617 |
Real period |
R |
7.9718998117322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bd3 28560dt4 |
Quadratic twists by: -4 -3 |