Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720j |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-995358670848000 = -1 · 233 · 32 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2171336,1232237040] |
[a1,a2,a3,a4,a6] |
j |
-276404470414874902729/243007488000 |
j-invariant |
L |
1.6509975118935 |
L(r)(E,1)/r! |
Ω |
0.41274937797336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3090d2 98880bz2 74160bq2 123600cn2 |
Quadratic twists by: -4 8 -3 5 |