Atkin-Lehner |
3+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945b |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
712800 |
Modular degree for the optimal curve |
Δ |
-4.1111019196239E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-848778,1020544857] |
[a1,a2,a3,a4,a6] |
j |
-67624934036455723146409/411110191962385232625 |
j-invariant |
L |
0.72559533817514 |
L(r)(E,1)/r! |
Ω |
0.14511906763503 |
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 |
65835bo1 109725bj1 |
Quadratic twists by: -3 5 |