Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450f |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12312000 |
Modular degree for the optimal curve |
Δ |
-1.2996173979508E+24 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16274700,60383474000] |
[a1,a2,a3,a4,a6] |
Generators |
[-3643713932569738008:436153647658894596380:1484938545256503] |
Generators of the group modulo torsion |
j |
-19026212425/51868672 |
j-invariant |
L |
8.1264763288194 |
L(r)(E,1)/r! |
Ω |
0.075789296821095 |
Real period |
R |
26.806147667534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bn1 1850i1 |
Quadratic twists by: 5 37 |