Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843s |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-22146900829599 = -1 · 3 · 76 · 137 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3968,205295] |
[a1,a2,a3,a4,a6] |
Generators |
[20649:-583522:27] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
4.2620431589235 |
L(r)(E,1)/r! |
Ω |
0.47939923849534 |
Real period |
R |
8.8903836649814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74529z1 507c1 1911f1 |
Quadratic twists by: -3 -7 13 |