Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48675n |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19743796875 = 3 · 56 · 112 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-738,-3783] |
[a1,a2,a3,a4,a6] |
Generators |
[32:59:1] |
Generators of the group modulo torsion |
j |
2845178713/1263603 |
j-invariant |
L |
4.227502324835 |
L(r)(E,1)/r! |
Ω |
0.95447077386016 |
Real period |
R |
2.2145792415124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947a2 |
Quadratic twists by: 5 |