Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
24900d |
Isogeny class |
Conductor |
24900 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-6861444000000 = -1 · 28 · 3 · 56 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2692,-114888] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1162:1] |
Generators of the group modulo torsion |
j |
539172272/1715361 |
j-invariant |
L |
3.7306521319445 |
L(r)(E,1)/r! |
Ω |
0.3823082402766 |
Real period |
R |
1.0842478918307 |
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 |
99600cu2 74700e2 996c2 |
Quadratic twists by: -4 -3 5 |