Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530ce |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-20100148117560 = -1 · 23 · 39 · 5 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2147,219611] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:466:1] |
Generators of the group modulo torsion |
j |
-1500730351849/27572219640 |
j-invariant |
L |
8.5185993565189 |
L(r)(E,1)/r! |
Ω |
0.57610783317538 |
Real period |
R |
0.35205873366608 |
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 |
6510g1 97650s1 |
Quadratic twists by: -3 5 |