Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025cj |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
3703376953125 = 38 · 59 · 172 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6375,172656] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:562:1] |
Generators of the group modulo torsion |
j |
69632/9 |
j-invariant |
L |
3.2370725112728 |
L(r)(E,1)/r! |
Ω |
0.75884711352282 |
Real period |
R |
1.066444232875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675y1 65025ci1 65025cn1 |
Quadratic twists by: -3 5 17 |