Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bu |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-364194496512 = -1 · 216 · 38 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,29104] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:176:1] |
Generators of the group modulo torsion |
j |
-62500/7623 |
j-invariant |
L |
6.3730227549898 |
L(r)(E,1)/r! |
Ω |
0.78340719194207 |
Real period |
R |
2.0337516749068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352dt1 5544i1 14784bi1 |
Quadratic twists by: -4 8 -3 |