Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24843j |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-5.156903422013E+20 |
Discriminant |
Eigenvalues |
2 3+ -3 7- 0 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,394728,-1088532313] |
[a1,a2,a3,a4,a6] |
Generators |
[87204:2845741:64] |
Generators of the group modulo torsion |
j |
5451776/413343 |
j-invariant |
L |
6.5959091041356 |
L(r)(E,1)/r! |
Ω |
0.078570982486628 |
Real period |
R |
5.246775666559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74529bs1 3549e1 24843k1 |
Quadratic twists by: -3 -7 13 |