Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005v |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
3.3389311768828E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8396078,-3224823577] |
[a1,a2,a3,a4,a6] |
j |
556371392479011772489/283804467261328125 |
j-invariant |
L |
5.2443834215332 |
L(r)(E,1)/r! |
Ω |
0.093649703962204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715c3 |
Quadratic twists by: -7 |