Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848k |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-2.2808572780028E+20 |
Discriminant |
Eigenvalues |
2- 0 4 7- 2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1307957,443262330] |
[a1,a2,a3,a4,a6] |
Generators |
[1365905427635:-90188825886720:2465846551] |
Generators of the group modulo torsion |
j |
513518298333039/473314623488 |
j-invariant |
L |
7.6749047104445 |
L(r)(E,1)/r! |
Ω |
0.11550759648104 |
Real period |
R |
16.611255329221 |
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 |
4606k1 5264e1 |
Quadratic twists by: -4 -7 |