Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160bh |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-110720286720 = -1 · 215 · 38 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523,51338] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:304:1] [13:144:1] |
Generators of the group modulo torsion |
j |
-594823321/37080 |
j-invariant |
L |
9.6222107043567 |
L(r)(E,1)/r! |
Ω |
1.0391577544495 |
Real period |
R |
1.1574530747521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270s1 24720o1 |
Quadratic twists by: -4 -3 |