Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fp |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
15163200000000 = 212 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12000,470000] |
[a1,a2,a3,a4,a6] |
Generators |
[-91359:54757:729] |
Generators of the group modulo torsion |
j |
163840/13 |
j-invariant |
L |
6.5895653250632 |
L(r)(E,1)/r! |
Ω |
0.68435427851446 |
Real period |
R |
9.6288801457852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2925t1 5200bh1 46800dn1 |
Quadratic twists by: -4 -3 5 |