Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880be |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
349045200 = 24 · 38 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89778,10353877] |
[a1,a2,a3,a4,a6] |
Generators |
[1378:135:8] [26:2835:1] |
Generators of the group modulo torsion |
j |
6860977263302656/29925 |
j-invariant |
L |
8.7492428522833 |
L(r)(E,1)/r! |
Ω |
1.1482452957636 |
Real period |
R |
1.9049158930943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760z1 15960i1 |
Quadratic twists by: -4 -3 |