Atkin-Lehner |
3+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305b |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3288598734375 = 39 · 56 · 172 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4133,-52298] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:158:1] |
Generators of the group modulo torsion |
j |
396579370923/167078125 |
j-invariant |
L |
3.0687241196949 |
L(r)(E,1)/r! |
Ω |
0.61826641313865 |
Real period |
R |
2.4817166633042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28305d2 |
Quadratic twists by: -3 |