Atkin-Lehner |
2- 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40788b |
Isogeny class |
Conductor |
40788 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1080612665904816 = -1 · 24 · 314 · 113 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21036,-1969895] |
[a1,a2,a3,a4,a6] |
Generators |
[422:-8019:1] [191:990:1] |
Generators of the group modulo torsion |
j |
-88260358586368/92645118819 |
j-invariant |
L |
8.5920730845088 |
L(r)(E,1)/r! |
Ω |
0.19026422187352 |
Real period |
R |
2.5088132118772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13596b1 |
Quadratic twists by: -3 |