Atkin-Lehner |
3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39249j |
Isogeny class |
Conductor |
39249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
9537507 = 37 · 72 · 89 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -5 6 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1616,25400] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-8:1] |
Generators of the group modulo torsion |
j |
13057865737/267 |
j-invariant |
L |
2.0843917426832 |
L(r)(E,1)/r! |
Ω |
2.1219563235376 |
Real period |
R |
0.49114859706643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13083g1 39249d1 |
Quadratic twists by: -3 -7 |