Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bj |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-9759834504 = -1 · 23 · 36 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,4853] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:57:1] |
Generators of the group modulo torsion |
j |
-594823321/13387976 |
j-invariant |
L |
6.7487169434211 |
L(r)(E,1)/r! |
Ω |
1.0840674731196 |
Real period |
R |
1.037561022915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9758c1 |
Quadratic twists by: -3 |