Atkin-Lehner |
3- 5- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805n |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-26764587158203125 = -1 · 38 · 512 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,62747,-5030119] |
[a1,a2,a3,a4,a6] |
Generators |
[75:277:1] |
Generators of the group modulo torsion |
j |
27322004672022304439/26764587158203125 |
j-invariant |
L |
7.8423392152249 |
L(r)(E,1)/r! |
Ω |
0.20461077463916 |
Real period |
R |
3.1940071048946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107415k3 |
Quadratic twists by: -3 |