Atkin-Lehner |
3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305d |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-333793018125 = -1 · 33 · 54 · 7 · 414 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,133,27846] |
[a1,a2,a3,a4,a6] |
Generators |
[25194:757588:27] |
Generators of the group modulo torsion |
j |
257138126279/333793018125 |
j-invariant |
L |
3.8132694101343 |
L(r)(E,1)/r! |
Ω |
0.75298484185043 |
Real period |
R |
5.0642047464904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880cw3 12915f4 21525ba3 30135y3 |
Quadratic twists by: -4 -3 5 -7 |