Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bc |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-504862081024 = -1 · 221 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 0 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1951,8959] |
[a1,a2,a3,a4,a6] |
Generators |
[25:272:1] |
Generators of the group modulo torsion |
j |
63905303/39304 |
j-invariant |
L |
5.2567406789705 |
L(r)(E,1)/r! |
Ω |
0.57365707345842 |
Real period |
R |
1.5272599032124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312cd2 1666f2 53312e2 |
Quadratic twists by: -4 8 -7 |