Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992x |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-75265241856 = -1 · 28 · 3 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4377,113709] |
[a1,a2,a3,a4,a6] |
Generators |
[47:98:1] |
Generators of the group modulo torsion |
j |
-307981312/2499 |
j-invariant |
L |
3.8823756980252 |
L(r)(E,1)/r! |
Ω |
1.0950338319702 |
Real period |
R |
0.88635976000851 |
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 |
39984u1 59976u1 2856i1 |
Quadratic twists by: -4 -3 -7 |