Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4675a |
Isogeny class |
Conductor |
4675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-4675 = -1 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
1 -2 5+ 3 11+ 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,3] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
-625/187 |
j-invariant |
L |
3.320181475926 |
L(r)(E,1)/r! |
Ω |
3.5324891166123 |
Real period |
R |
0.93989857189145 |
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 |
74800by1 42075bn1 4675r1 51425v1 |
Quadratic twists by: -4 -3 5 -11 |