Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104t |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2097446912 = -1 · 215 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3 0 0 11+ 2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,-2254] |
[a1,a2,a3,a4,a6] |
Generators |
[579:1936:27] |
Generators of the group modulo torsion |
j |
-77625/968 |
j-invariant |
L |
12.634755054411 |
L(r)(E,1)/r! |
Ω |
0.6263462917811 |
Real period |
R |
2.5215194872615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638n1 93104bh1 |
Quadratic twists by: -4 -23 |