Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980s |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3809243242771200 = 28 · 313 · 52 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2622567,-1634697074] |
[a1,a2,a3,a4,a6] |
Generators |
[-116985950:-2467179:125000] |
Generators of the group modulo torsion |
j |
10688973365747412304/20411325675 |
j-invariant |
L |
7.4284274234288 |
L(r)(E,1)/r! |
Ω |
0.11863639911735 |
Real period |
R |
7.826884787442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36660d2 |
Quadratic twists by: -3 |