Atkin-Lehner |
3- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325o |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
612421875 = 32 · 57 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-313,1742] |
[a1,a2,a3,a4,a6] |
Generators |
[17:29:1] |
Generators of the group modulo torsion |
j |
217081801/39195 |
j-invariant |
L |
4.9468562757369 |
L(r)(E,1)/r! |
Ω |
1.5483946410185 |
Real period |
R |
0.39935363902115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065i1 |
Quadratic twists by: 5 |