Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240z |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4051308380160 = -1 · 218 · 3 · 5 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1080,98160] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:320:1] |
Generators of the group modulo torsion |
j |
-34043726521/989088960 |
j-invariant |
L |
4.8964398148333 |
L(r)(E,1)/r! |
Ω |
0.65313456422684 |
Real period |
R |
1.8742078903103 |
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 |
3030l2 96960di2 72720bm2 121200cy2 |
Quadratic twists by: -4 8 -3 5 |