Atkin-Lehner |
2- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75106c |
Isogeny class |
Conductor |
75106 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
554969650112 = 26 · 174 · 473 |
Discriminant |
Eigenvalues |
2- 0 0 -4 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15760,764595] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:863:1] [-35:1145:1] |
Generators of the group modulo torsion |
j |
4169394057375/5345344 |
j-invariant |
L |
13.909776306121 |
L(r)(E,1)/r! |
Ω |
0.92007082205519 |
Real period |
R |
1.2598465223928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75106d2 |
Quadratic twists by: -47 |