Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843s |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
863729132354361 = 32 · 76 · 138 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37437,2399760] |
[a1,a2,a3,a4,a6] |
Generators |
[69:348:1] |
Generators of the group modulo torsion |
j |
10218313/1521 |
j-invariant |
L |
4.2620431589235 |
L(r)(E,1)/r! |
Ω |
0.47939923849534 |
Real period |
R |
4.4451918324907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74529z2 507c2 1911f2 |
Quadratic twists by: -3 -7 13 |