Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21300i |
Isogeny class |
Conductor |
21300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
1331250000 = 24 · 3 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 1 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,1662] |
[a1,a2,a3,a4,a6] |
Generators |
[17:25:1] |
Generators of the group modulo torsion |
j |
655360/213 |
j-invariant |
L |
5.2751062418956 |
L(r)(E,1)/r! |
Ω |
1.4073353282334 |
Real period |
R |
0.41647708545905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200eb1 63900y1 21300m1 |
Quadratic twists by: -4 -3 5 |