Atkin-Lehner |
2- 3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978s |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
266 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-30903435232705152 = -1 · 27 · 319 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -5 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,63758,-5751292] |
[a1,a2,a3,a4,a6] |
Generators |
[1916:83606:1] |
Generators of the group modulo torsion |
j |
28663376123061201887/30903435232705152 |
j-invariant |
L |
12.897757693327 |
L(r)(E,1)/r! |
Ω |
0.20066847791924 |
Real period |
R |
0.24163142801462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934j1 |
Quadratic twists by: -3 |