Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025g |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
76201171875 = 33 · 510 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1992,32041] |
[a1,a2,a3,a4,a6] |
Generators |
[0:179:1] |
Generators of the group modulo torsion |
j |
11475 |
j-invariant |
L |
8.0668346784144 |
L(r)(E,1)/r! |
Ω |
1.0612151277891 |
Real period |
R |
3.8007537145958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025k1 65025z1 65025r1 |
Quadratic twists by: -3 5 17 |