Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424u |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1553989632 = -1 · 221 · 3 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 -5 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-1887] |
[a1,a2,a3,a4,a6] |
Generators |
[89:832:1] |
Generators of the group modulo torsion |
j |
-15625/5928 |
j-invariant |
L |
5.3252436122369 |
L(r)(E,1)/r! |
Ω |
0.67489378901754 |
Real period |
R |
1.972622840395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424dj1 1482c1 |
Quadratic twists by: -4 8 |