Atkin-Lehner |
2- 5- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53650m |
Isogeny class |
Conductor |
53650 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1473701120000 = -1 · 211 · 54 · 292 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -1 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1662,-51569] |
[a1,a2,a3,a4,a6] |
Generators |
[1225:42307:1] [230:1041:8] |
Generators of the group modulo torsion |
j |
812307421775/2357921792 |
j-invariant |
L |
10.9924890393 |
L(r)(E,1)/r! |
Ω |
0.43615581115181 |
Real period |
R |
0.1909327584012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53650a1 |
Quadratic twists by: 5 |