Atkin-Lehner |
2- 3+ 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24510o |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
65 |
Product of Tamagawa factors cp |
deg |
180960 |
Modular degree for the optimal curve |
Δ |
-3089011968368640 = -1 · 213 · 33 · 5 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -5 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24675,3051777] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1856:1] |
Generators of the group modulo torsion |
j |
-1661484507997633201/3089011968368640 |
j-invariant |
L |
7.5200923547931 |
L(r)(E,1)/r! |
Ω |
0.40119478538442 |
Real period |
R |
0.28837296183804 |
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 |
73530n1 122550x1 |
Quadratic twists by: -3 5 |