Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bg |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-18690048 = -1 · 212 · 33 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-936,11024] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:148:1] [16:12:1] |
Generators of the group modulo torsion |
j |
-4852224 |
j-invariant |
L |
8.1687578963707 |
L(r)(E,1)/r! |
Ω |
2.1148418588799 |
Real period |
R |
0.96564642198568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672e1 97344m1 48672c1 48672b1 |
Quadratic twists by: -4 8 -3 13 |