Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560t |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1122522240000 = -1 · 210 · 3 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1960,61600] |
[a1,a2,a3,a4,a6] |
Generators |
[45:250:1] |
Generators of the group modulo torsion |
j |
-813604851364/1096213125 |
j-invariant |
L |
4.0229059998523 |
L(r)(E,1)/r! |
Ω |
0.78427678666922 |
Real period |
R |
2.5647233656739 |
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 |
14280bc4 114240ip3 85680p3 |
Quadratic twists by: -4 8 -3 |