Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680db |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
13655250000 = 24 · 33 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109392,-13926001] |
[a1,a2,a3,a4,a6] |
Generators |
[3073:169320:1] |
Generators of the group modulo torsion |
j |
335117149277257728/31609375 |
j-invariant |
L |
7.5345587232081 |
L(r)(E,1)/r! |
Ω |
0.26251442130975 |
Real period |
R |
4.7835840024568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420h1 85680cr3 |
Quadratic twists by: -4 -3 |