Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280v |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-491296290383462400 = -1 · 217 · 320 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104735,31062625] |
[a1,a2,a3,a4,a6] |
Generators |
[-5055:59500:27] |
Generators of the group modulo torsion |
j |
969360123836302/3748293231075 |
j-invariant |
L |
5.7800459104484 |
L(r)(E,1)/r! |
Ω |
0.20984299567412 |
Real period |
R |
6.8861553990393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280dl3 5160d4 123840cf3 |
Quadratic twists by: -4 8 -3 |