Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305m |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-38768430845025 = -1 · 38 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1415,-298750] |
[a1,a2,a3,a4,a6] |
Generators |
[65:230:1] |
Generators of the group modulo torsion |
j |
313309705912559/38768430845025 |
j-invariant |
L |
3.1303779855215 |
L(r)(E,1)/r! |
Ω |
0.30654244202888 |
Real period |
R |
1.2764863671091 |
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 |
68880br3 12915i4 21525d3 30135d3 |
Quadratic twists by: -4 -3 5 -7 |