Atkin-Lehner |
2- 3+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648q |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-7234626640674816 = -1 · 224 · 37 · 37 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2056,-4092816] |
[a1,a2,a3,a4,a6] |
Generators |
[37420455820:1798458497024:16194277] |
Generators of the group modulo torsion |
j |
234542659463/1766266269696 |
j-invariant |
L |
5.9588004171684 |
L(r)(E,1)/r! |
Ω |
0.19361243071684 |
Real period |
R |
15.388475666922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206f1 |
Quadratic twists by: -4 |