Atkin-Lehner |
3+ 5- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805i |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
118333363399480845 = 36 · 5 · 74 · 114 · 314 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46677862,-122767484669] |
[a1,a2,a3,a4,a6] |
Generators |
[433563090:-2534939233:54872] |
Generators of the group modulo torsion |
j |
11247515330662891182741892201/118333363399480845 |
j-invariant |
L |
5.9134488355415 |
L(r)(E,1)/r! |
Ω |
0.057759285842338 |
Real period |
R |
12.797615026963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107415p4 |
Quadratic twists by: -3 |