Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ex |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1333834713792000000 = -1 · 212 · 311 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,188700,45740000] |
[a1,a2,a3,a4,a6] |
Generators |
[100:8100:1] |
Generators of the group modulo torsion |
j |
15926924096/28588707 |
j-invariant |
L |
7.4416300406426 |
L(r)(E,1)/r! |
Ω |
0.18615164100384 |
Real period |
R |
1.6656738389843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800di2 50400dq1 33600t2 4032k2 |
Quadratic twists by: -4 8 -3 5 |