Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360m |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
6.6268418860253E+32 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54692686803,-4764797552706802] |
[a1,a2,a3,a4,a6] |
Generators |
[87932314171632033601165181852730501903184904860654618:83468417707260643106237967915237526099106056555683593750:91312688687344728001429389729425181210645996407] |
Generators of the group modulo torsion |
j |
12118643447800698043551613533602/443863187882137298583984375 |
j-invariant |
L |
7.186409012553 |
L(r)(E,1)/r! |
Ω |
0.0098945163949177 |
Real period |
R |
72.630219776215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120y3 |
Quadratic twists by: -3 |