Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176j |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
541703006208 = 211 · 33 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4563,113230] |
[a1,a2,a3,a4,a6] |
j |
6652854/343 |
j-invariant |
L |
5.4719263999542 |
L(r)(E,1)/r! |
Ω |
0.91198774649168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85176bo1 85176bk1 |
Quadratic twists by: -3 13 |