Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bb |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5217604700343750 = 2 · 312 · 56 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67101,5711098] |
[a1,a2,a3,a4,a6] |
Generators |
[86:717:1] |
Generators of the group modulo torsion |
j |
2138362647385537/333926700822 |
j-invariant |
L |
4.5501788775304 |
L(r)(E,1)/r! |
Ω |
0.41194066509764 |
Real period |
R |
0.92047618808804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350dk3 858h3 |
Quadratic twists by: -3 5 |