Atkin-Lehner |
3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175o |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
4.5804204574869E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8964951,844755673] |
[a1,a2,a3,a4,a6] |
Generators |
[-8402:767433:8] |
Generators of the group modulo torsion |
j |
40797858182154346421/23451752742332697 |
j-invariant |
L |
9.5805776177666 |
L(r)(E,1)/r! |
Ω |
0.096919212364654 |
Real period |
R |
4.942558541293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47175g2 |
Quadratic twists by: 5 |