Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ba |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-14612659200 = -1 · 210 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,215,5617] |
[a1,a2,a3,a4,a6] |
Generators |
[24:155:1] |
Generators of the group modulo torsion |
j |
1068359936/14270175 |
j-invariant |
L |
5.3556443162859 |
L(r)(E,1)/r! |
Ω |
0.92452335058402 |
Real period |
R |
2.8964353971713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840ef1 1740e1 83520t1 |
Quadratic twists by: -4 8 -3 |