Atkin-Lehner |
2- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24674i |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82368 |
Modular degree for the optimal curve |
Δ |
-3170830148521984 = -1 · 212 · 139 · 73 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 0 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33092,-1412225] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-2261:1] |
Generators of the group modulo torsion |
j |
377933067/299008 |
j-invariant |
L |
6.3973745346067 |
L(r)(E,1)/r! |
Ω |
0.24937647228668 |
Real period |
R |
1.0688950318009 |
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 |
24674f1 |
Quadratic twists by: 13 |