Atkin-Lehner |
2+ 3+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938a |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
547732753259328 = 26 · 314 · 72 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-215014,38269012] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:8890:1] |
Generators of the group modulo torsion |
j |
1099327479559385248873/547732753259328 |
j-invariant |
L |
3.1497642707085 |
L(r)(E,1)/r! |
Ω |
0.51207926884028 |
Real period |
R |
1.5377327605167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814bf2 |
Quadratic twists by: -3 |