Atkin-Lehner |
3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975w |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2804033528504E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-949308,-312007794] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:6932:1] [1890:67242:1] |
Generators of the group modulo torsion |
j |
320997007423/43441281 |
j-invariant |
L |
7.0922525568059 |
L(r)(E,1)/r! |
Ω |
0.15432005444777 |
Real period |
R |
11.489518620843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117975cj2 117975x2 |
Quadratic twists by: 5 -11 |