Atkin-Lehner |
2- 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464be |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-7021228032 = -1 · 212 · 32 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,168,3888] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:56:1] |
Generators of the group modulo torsion |
j |
127263527/1714167 |
j-invariant |
L |
6.6860423974603 |
L(r)(E,1)/r! |
Ω |
0.9829532347811 |
Real period |
R |
0.85024929908696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279h1 |
Quadratic twists by: -4 |