Atkin-Lehner |
3+ 5+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
93525d |
Isogeny class |
Conductor |
93525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
42378515625 = 3 · 58 · 292 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1438,17906] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:202:1] [-14:195:1] |
Generators of the group modulo torsion |
j |
21047437081/2712225 |
j-invariant |
L |
6.5550636353809 |
L(r)(E,1)/r! |
Ω |
1.1015028584054 |
Real period |
R |
2.9755091356104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705i1 |
Quadratic twists by: 5 |