Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450c |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-2.3667231383618E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22060725,-739086199875] |
[a1,a2,a3,a4,a6] |
Generators |
[9939689792507784849384190:1651362089812140924355595905:355944539247410249317] |
Generators of the group modulo torsion |
j |
75991146714893572533071/15147028085515223040000 |
j-invariant |
L |
3.6918843953729 |
L(r)(E,1)/r! |
Ω |
0.026242152231892 |
Real period |
R |
35.171318674142 |
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 |
64350ej1 4290y1 |
Quadratic twists by: -3 5 |