Atkin-Lehner |
2- 5+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
48760a |
Isogeny class |
Conductor |
48760 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
335104 |
Modular degree for the optimal curve |
Δ |
-3825661872249200 = -1 · 24 · 52 · 237 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 2 1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147976,22160201] |
[a1,a2,a3,a4,a6] |
Generators |
[-424:2915:1] [196:805:1] |
Generators of the group modulo torsion |
j |
-22396518591041046784/239103867015575 |
j-invariant |
L |
6.6013363467775 |
L(r)(E,1)/r! |
Ω |
0.44351246931092 |
Real period |
R |
0.26578960987412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97520a1 |
Quadratic twists by: -4 |