Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450bw |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-542719458000000 = -1 · 27 · 32 · 56 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8487,-1078983] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2459:1] |
Generators of the group modulo torsion |
j |
4326762872375/34734045312 |
j-invariant |
L |
11.898066520793 |
L(r)(E,1)/r! |
Ω |
0.25787250118051 |
Real period |
R |
0.8239167519345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938c2 |
Quadratic twists by: 5 |