Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325a |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-5.552572618103E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1896708,523398491] |
[a1,a2,a3,a4,a6] |
Generators |
[1925279470860838:104341786068411729:1161267062831] |
Generators of the group modulo torsion |
j |
2453656100384133/1805439453125 |
j-invariant |
L |
5.5201665814508 |
L(r)(E,1)/r! |
Ω |
0.10455407452399 |
Real period |
R |
26.398620075703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17325b1 3465d1 121275r1 |
Quadratic twists by: -3 5 -7 |