Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fw |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-441000000000000000 = -1 · 215 · 32 · 515 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112992,-28447488] |
[a1,a2,a3,a4,a6] |
Generators |
[762:22350:1] |
Generators of the group modulo torsion |
j |
50872947671/140625000 |
j-invariant |
L |
4.942561772504 |
L(r)(E,1)/r! |
Ω |
0.15281480582109 |
Real period |
R |
4.0429343101987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cp2 11760cs2 58800hx2 |
Quadratic twists by: -4 5 -7 |