Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bz |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88064 |
Modular degree for the optimal curve |
Δ |
4185792 = 26 · 32 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -6 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520,-4394] |
[a1,a2,a3,a4,a6] |
Generators |
[39:182:1] |
Generators of the group modulo torsion |
j |
243438174784/65403 |
j-invariant |
L |
2.6646019166507 |
L(r)(E,1)/r! |
Ω |
0.99962278000976 |
Real period |
R |
2.6656074791968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999841932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cn1 53664o2 |
Quadratic twists by: -4 8 |