Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154f |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-528560192 = -1 · 26 · 173 · 412 |
Discriminant |
Eigenvalues |
2+ -1 0 1 3 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,150,916] |
[a1,a2,a3,a4,a6] |
Generators |
[12:62:1] [6582:185669:8] |
Generators of the group modulo torsion |
j |
219734375/314432 |
j-invariant |
L |
6.4944612084767 |
L(r)(E,1)/r! |
Ω |
1.1150481779487 |
Real period |
R |
0.97072953691142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57154c2 |
Quadratic twists by: 41 |