Atkin-Lehner |
2+ 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40850a |
Isogeny class |
Conductor |
40850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-17987072000000 = -1 · 215 · 56 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -2 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4100,226000] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:565:1] |
Generators of the group modulo torsion |
j |
-488001047617/1151172608 |
j-invariant |
L |
3.1051107245355 |
L(r)(E,1)/r! |
Ω |
0.61150156047667 |
Real period |
R |
1.2694614884182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1634d1 |
Quadratic twists by: 5 |