Atkin-Lehner |
2+ 3+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28536b |
Isogeny class |
Conductor |
28536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
667008 |
Modular degree for the optimal curve |
Δ |
-1.0534973350508E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 1 -1 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,507160,70971861] |
[a1,a2,a3,a4,a6] |
j |
901649721028143421184/658435834406766303 |
j-invariant |
L |
0.58134947137798 |
L(r)(E,1)/r! |
Ω |
0.1453373678444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57072j1 85608u1 |
Quadratic twists by: -4 -3 |