Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240s |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45709466852582400 = -1 · 210 · 3 · 52 · 712 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29584,-10088316] |
[a1,a2,a3,a4,a6] |
Generators |
[232252712509275:-15580946933382558:51686703125] |
Generators of the group modulo torsion |
j |
2796274207315004/44638151223225 |
j-invariant |
L |
6.6800894935681 |
L(r)(E,1)/r! |
Ω |
0.17535747810951 |
Real period |
R |
19.047061936254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120t3 |
Quadratic twists by: -4 |