Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fd |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-291422208 = -1 · 214 · 3 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373,-2771] |
[a1,a2,a3,a4,a6] |
Generators |
[2436:12265:64] |
Generators of the group modulo torsion |
j |
-7168000/363 |
j-invariant |
L |
5.9182511967569 |
L(r)(E,1)/r! |
Ω |
0.54145969480551 |
Real period |
R |
5.465089314308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488dq1 25872cu1 103488gw1 |
Quadratic twists by: -4 8 -7 |