Atkin-Lehner |
2+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46816a |
Isogeny class |
Conductor |
46816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1029952 = 26 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181,-936] |
[a1,a2,a3,a4,a6] |
Generators |
[17:30:1] [36:198:1] |
Generators of the group modulo torsion |
j |
10246592448/16093 |
j-invariant |
L |
7.7469151531555 |
L(r)(E,1)/r! |
Ω |
1.3017298899985 |
Real period |
R |
5.9512462705798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46816c1 93632r2 |
Quadratic twists by: -4 8 |