Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840n |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
29352960 = 210 · 32 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,804] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:42:1] |
Generators of the group modulo torsion |
j |
592143556/28665 |
j-invariant |
L |
5.6631222692404 |
L(r)(E,1)/r! |
Ω |
2.0702075302639 |
Real period |
R |
0.6838834013562 |
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 |
10920d1 87360ew1 65520bi1 109200n1 |
Quadratic twists by: -4 8 -3 5 |