Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382f |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-41044629114745344 = -1 · 29 · 39 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 11- -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-366108,-85727152] |
[a1,a2,a3,a4,a6] |
Generators |
[4502627055142627040:-211094331263145175279:1936298553344000] |
Generators of the group modulo torsion |
j |
-1286231859/9728 |
j-invariant |
L |
5.7637535313684 |
L(r)(E,1)/r! |
Ω |
0.096999848658695 |
Real period |
R |
29.710116103628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41382bo1 41382bk2 |
Quadratic twists by: -3 -11 |