Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328a |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-22550151168 = -1 · 219 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,607,-4575] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] [25:160:1] |
Generators of the group modulo torsion |
j |
94196375/86022 |
j-invariant |
L |
5.2698037416016 |
L(r)(E,1)/r! |
Ω |
0.66028034394071 |
Real period |
R |
0.9976451271724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11328q1 354b1 33984h1 |
Quadratic twists by: -4 8 -3 |