Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bu |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
5715001344 = 218 · 3 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,609] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:64:1] |
Generators of the group modulo torsion |
j |
38272753/21801 |
j-invariant |
L |
2.7970299885019 |
L(r)(E,1)/r! |
Ω |
1.1591961275302 |
Real period |
R |
1.2064524382167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bf1 26832r1 |
Quadratic twists by: -4 8 |