Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325bb |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1403325 = 36 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45,101] |
[a1,a2,a3,a4,a6] |
Generators |
[18:23:8] |
Generators of the group modulo torsion |
j |
552960/77 |
j-invariant |
L |
10.050072763715 |
L(r)(E,1)/r! |
Ω |
2.5951778626462 |
Real period |
R |
1.9362974901202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1925g1 17325bm1 121275dl1 |
Quadratic twists by: -3 5 -7 |