Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715s |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
500207315049225 = 38 · 52 · 78 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118418,15677232] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:4683:1] |
Generators of the group modulo torsion |
j |
2141202151369/5832225 |
j-invariant |
L |
3.8114951261669 |
L(r)(E,1)/r! |
Ω |
0.52484964263735 |
Real period |
R |
1.8155176342753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16905p2 7245t2 |
Quadratic twists by: -3 -7 |