Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ee |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
75 |
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] |
Generators |
[190:2175:1] |
Generators of the group modulo torsion |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
7.0493751933003 |
L(r)(E,1)/r! |
Ω |
0.86909861168247 |
Real period |
R |
0.10814845171832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840dc1 13920a1 83520ec1 |
Quadratic twists by: -4 8 -3 |