Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bg |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-143290368 = -1 · 212 · 32 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-649] |
[a1,a2,a3,a4,a6] |
Generators |
[19:72:1] |
Generators of the group modulo torsion |
j |
-10648000/34983 |
j-invariant |
L |
6.6130813480739 |
L(r)(E,1)/r! |
Ω |
0.75104755523238 |
Real period |
R |
2.2012858247318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408f1 28704f1 |
Quadratic twists by: -4 8 |