Atkin-Lehner |
2- 3- 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410bf |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
deg |
3778560 |
Modular degree for the optimal curve |
Δ |
-1.51508799E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2961032,-2047883061] |
[a1,a2,a3,a4,a6] |
Generators |
[2297:56001:1] |
Generators of the group modulo torsion |
j |
-3938450113783958762809/207831000000000000 |
j-invariant |
L |
11.940252827622 |
L(r)(E,1)/r! |
Ω |
0.057369028139409 |
Real period |
R |
2.8907034026144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988427 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28470a1 |
Quadratic twists by: -3 |