Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800b |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-88490233036800 = -1 · 219 · 39 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5940,416880] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2592:1] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
5.4188444126905 |
L(r)(E,1)/r! |
Ω |
0.43024090795302 |
Real period |
R |
1.5743634246768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800jm2 3150a2 100800a1 100800ce2 |
Quadratic twists by: -4 8 -3 5 |