Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450ck |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
495040 |
Modular degree for the optimal curve |
Δ |
-1146371856000000000 = -1 · 213 · 3 · 59 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,167112,-44227719] |
[a1,a2,a3,a4,a6] |
j |
264250867272211/586942390272 |
j-invariant |
L |
3.7039743847721 |
L(r)(E,1)/r! |
Ω |
0.1424605532605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350cj1 30450bq1 |
Quadratic twists by: -3 5 |