Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300y |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
2898000 = 24 · 32 · 53 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2413,44828] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:180:1] [29:-9:1] |
Generators of the group modulo torsion |
j |
777223012352/1449 |
j-invariant |
L |
10.549262303685 |
L(r)(E,1)/r! |
Ω |
2.1790605789902 |
Real period |
R |
1.6137324504878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300m1 |
Quadratic twists by: 5 |