Atkin-Lehner |
2+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21350f |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
-3.40613363125E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 3 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6478558,-88569586284] |
[a1,a2,a3,a4,a6] |
j |
1924592114123259010191/217992552400000000000 |
j-invariant |
L |
0.6012277409741 |
L(r)(E,1)/r! |
Ω |
0.037576733810881 |
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 |
4270e1 |
Quadratic twists by: 5 |