Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784a |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
4140329782417664 = 28 · 119 · 193 |
Discriminant |
Eigenvalues |
2+ 2 -2 -4 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3044884,-2044034496] |
[a1,a2,a3,a4,a6] |
Generators |
[185198322482396198585440493870052:-6946534204775969106314234445687960:66805017153637218251907532231] |
Generators of the group modulo torsion |
j |
5172041242352/6859 |
j-invariant |
L |
5.5081931702061 |
L(r)(E,1)/r! |
Ω |
0.11428964647029 |
Real period |
R |
48.195032011391 |
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 |
18392c1 36784b1 |
Quadratic twists by: -4 -11 |