Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280m |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-50155200 = -1 · 26 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,315] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] [6:27:1] |
Generators of the group modulo torsion |
j |
99897344/783675 |
j-invariant |
L |
6.5692604565179 |
L(r)(E,1)/r! |
Ω |
1.4623385584839 |
Real period |
R |
1.1230744786161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280cx1 645f1 123840dk1 |
Quadratic twists by: -4 8 -3 |