Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800bm |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
18954000000000 = 210 · 36 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7875,-168750] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:252:1] |
Generators of the group modulo torsion |
j |
37044/13 |
j-invariant |
L |
7.145777943581 |
L(r)(E,1)/r! |
Ω |
0.52141537215698 |
Real period |
R |
3.4261446464655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400br1 5200h1 46800bt1 |
Quadratic twists by: -4 -3 5 |