Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840s |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-75680000 = -1 · 28 · 54 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 5- 4 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,-1400] |
[a1,a2,a3,a4,a6] |
Generators |
[75:640:1] |
Generators of the group modulo torsion |
j |
-4620876496/295625 |
j-invariant |
L |
7.9596782699066 |
L(r)(E,1)/r! |
Ω |
0.6172997762534 |
Real period |
R |
3.2235870545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460f1 |
Quadratic twists by: -4 |