Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840bb |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-408084480 = -1 · 213 · 35 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[18:72:1] |
Generators of the group modulo torsion |
j |
-1/99630 |
j-invariant |
L |
5.3815060525136 |
L(r)(E,1)/r! |
Ω |
0.77139163978862 |
Real period |
R |
0.34881801765367 |
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 |
1230g1 39360bw1 29520bk1 49200cb1 |
Quadratic twists by: -4 8 -3 5 |