Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dj |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21866688289687500 = 22 · 36 · 57 · 73 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8234480,-9092931353] |
[a1,a2,a3,a4,a6] |
Generators |
[139094:18003205:8] |
Generators of the group modulo torsion |
j |
5421065386069310769/1919709260 |
j-invariant |
L |
9.9912838558058 |
L(r)(E,1)/r! |
Ω |
0.089123149035821 |
Real period |
R |
7.0066559338439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050e3 14490bd3 |
Quadratic twists by: -3 5 |