Atkin-Lehner |
3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
65415m |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
160272 |
Modular degree for the optimal curve |
Δ |
-50493517246935 = -1 · 39 · 5 · 78 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,979,341760] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1909:1] |
Generators of the group modulo torsion |
j |
17999471/8758935 |
j-invariant |
L |
3.7941001779026 |
L(r)(E,1)/r! |
Ω |
0.49273218343253 |
Real period |
R |
0.28518987303831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65415g1 |
Quadratic twists by: -7 |