Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784v |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-33364531109888 = -1 · 213 · 118 · 19 |
Discriminant |
Eigenvalues |
2- -1 0 1 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15528,-789776] |
[a1,a2,a3,a4,a6] |
Generators |
[1893567:8931988:12167] |
Generators of the group modulo torsion |
j |
-471625/38 |
j-invariant |
L |
4.9815510105225 |
L(r)(E,1)/r! |
Ω |
0.2128572108497 |
Real period |
R |
11.701626152661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598i1 36784bg1 |
Quadratic twists by: -4 -11 |