Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824d |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-11522960949248 = -1 · 215 · 78 · 61 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 0 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6288,-249920] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:72358:1] |
Generators of the group modulo torsion |
j |
-1164625/488 |
j-invariant |
L |
3.569485746614 |
L(r)(E,1)/r! |
Ω |
0.26267608173441 |
Real period |
R |
6.7944628286245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978h1 47824g1 |
Quadratic twists by: -4 -7 |