Atkin-Lehner |
2+ 3+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
16590d |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-2121192214364160 = -1 · 220 · 33 · 5 · 74 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20212,2468176] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1909:1] |
Generators of the group modulo torsion |
j |
-913240480275030601/2121192214364160 |
j-invariant |
L |
2.7497226248445 |
L(r)(E,1)/r! |
Ω |
0.41111850836887 |
Real period |
R |
3.3441970731921 |
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 |
49770bk1 82950cs1 116130be1 |
Quadratic twists by: -3 5 -7 |