Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cl |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8355840 |
Modular degree for the optimal curve |
Δ |
-9.3818025302839E+18 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 6 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26611385,-52829696199] |
[a1,a2,a3,a4,a6] |
Generators |
[79188327475137:-2440492613544232:12374478297] |
Generators of the group modulo torsion |
j |
-508822391654348732468416/2290479133370103 |
j-invariant |
L |
2.7963018233679 |
L(r)(E,1)/r! |
Ω |
0.033235527095428 |
Real period |
R |
21.033981315275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408db1 28704m1 |
Quadratic twists by: -4 8 |