Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840ci |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-1183733847333273600 = -1 · 219 · 310 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3080,-52345132] |
[a1,a2,a3,a4,a6] |
Generators |
[518:9408:1] |
Generators of the group modulo torsion |
j |
788632918919/288997521321600 |
j-invariant |
L |
7.2799986614536 |
L(r)(E,1)/r! |
Ω |
0.12585277987798 |
Real period |
R |
0.48204462047588 |
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 |
2730g2 87360es2 65520cy2 109200df2 |
Quadratic twists by: -4 8 -3 5 |