Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15180k |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-20948400 = -1 · 24 · 32 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,222] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:15:1] |
Generators of the group modulo torsion |
j |
-1048576/1309275 |
j-invariant |
L |
4.7543058847253 |
L(r)(E,1)/r! |
Ω |
1.7374543611603 |
Real period |
R |
0.45606050543494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720cn1 45540h1 75900x1 |
Quadratic twists by: -4 -3 5 |