Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176v |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12108096 |
Modular degree for the optimal curve |
Δ |
-5.8347534411777E+27 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109435091,3701423579026] |
[a1,a2,a3,a4,a6] |
Generators |
[289301025:44256321536:15625] |
Generators of the group modulo torsion |
j |
-35386171200283737225381417/1424500351850019530211328 |
j-invariant |
L |
4.4411953024478 |
L(r)(E,1)/r! |
Ω |
0.035449111033249 |
Real period |
R |
10.440307182603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522b1 |
Quadratic twists by: -4 |