Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450y |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
845378188580250 = 2 · 36 · 53 · 136 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31785,1660275] |
[a1,a2,a3,a4,a6] |
Generators |
[51:393:1] |
Generators of the group modulo torsion |
j |
28411992768918221/6763025508642 |
j-invariant |
L |
3.1172272394729 |
L(r)(E,1)/r! |
Ω |
0.47067560899757 |
Real period |
R |
1.6557195549077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450dd2 |
Quadratic twists by: 5 |