Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840dc |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-1185305400000 = -1 · 26 · 35 · 55 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 5 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15155,-714975] |
[a1,a2,a3,a4,a6] |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
3.2265572037353 |
L(r)(E,1)/r! |
Ω |
0.21510381358235 |
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 |
27840ee1 13920j1 83520ed1 |
Quadratic twists by: -4 8 -3 |