Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736eg |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-22534848 = -1 · 26 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -1 -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,142] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] [23:117:1] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
10.897793188099 |
L(r)(E,1)/r! |
Ω |
1.4039145135809 |
Real period |
R |
1.9406083992826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736bu1 23184bm1 30912bu1 |
Quadratic twists by: -4 8 -3 |