Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200t |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-49277009920000000 = -1 · 221 · 57 · 673 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36033,-11011937] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4288:1] [1218:41875:1] |
Generators of the group modulo torsion |
j |
-1263214441/12030520 |
j-invariant |
L |
8.1138203089053 |
L(r)(E,1)/r! |
Ω |
0.1511878473908 |
Real period |
R |
2.2361310909712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200by2 3350e2 21440d2 |
Quadratic twists by: -4 8 5 |