Atkin-Lehner |
7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
48461a |
Isogeny class |
Conductor |
48461 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-21112240463867 = -1 · 79 · 233 · 43 |
Discriminant |
Eigenvalues |
0 -1 0 7- 6 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-105023,13137039] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:535:8] |
Generators of the group modulo torsion |
j |
-1088912207872000/179451083 |
j-invariant |
L |
4.3731909147617 |
L(r)(E,1)/r! |
Ω |
0.65923135124391 |
Real period |
R |
3.316886330224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6923a2 |
Quadratic twists by: -7 |