Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300q |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
96635970000 = 24 · 33 · 54 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27633,-1777212] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:6:1] [212:1392:1] |
Generators of the group modulo torsion |
j |
233358454374400/9663597 |
j-invariant |
L |
7.9145509276313 |
L(r)(E,1)/r! |
Ω |
0.37029028231263 |
Real period |
R |
7.1246364502651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200cs2 63900ba2 21300c2 |
Quadratic twists by: -4 -3 5 |