Atkin-Lehner |
5+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83545c |
Isogeny class |
Conductor |
83545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184576 |
Modular degree for the optimal curve |
Δ |
-344014499675 = -1 · 52 · 79 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 11+ -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35036,-2538936] |
[a1,a2,a3,a4,a6] |
Generators |
[216:63:1] |
Generators of the group modulo torsion |
j |
-117865222327/8525 |
j-invariant |
L |
1.9983776579922 |
L(r)(E,1)/r! |
Ω |
0.17447731944771 |
Real period |
R |
2.863377411969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83545g1 |
Quadratic twists by: -7 |