Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315l |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-1.6466657464967E+23 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -1 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9708680,-22728828319] |
[a1,a2,a3,a4,a6] |
j |
-860232957686415069184/1399642790416171875 |
j-invariant |
L |
5.1009156301933 |
L(r)(E,1)/r! |
Ω |
0.040483457382487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63945p1 106575ck1 3045h1 |
Quadratic twists by: -3 5 -7 |