Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280r |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-641986560 = -1 · 212 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,215,-215] |
[a1,a2,a3,a4,a6] |
j |
267089984/156735 |
j-invariant |
L |
1.9055189359185 |
L(r)(E,1)/r! |
Ω |
0.95275946793101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bu1 20640i1 123840br1 |
Quadratic twists by: -4 8 -3 |