Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800er |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-909792000 = -1 · 28 · 37 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,4300] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] [-10:90:1] |
Generators of the group modulo torsion |
j |
-524288/39 |
j-invariant |
L |
9.1113557354903 |
L(r)(E,1)/r! |
Ω |
1.5451643208787 |
Real period |
R |
0.36854315477875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11700s1 15600cn1 46800fh1 |
Quadratic twists by: -4 -3 5 |