Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dg |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-28356423755625000 = -1 · 23 · 36 · 57 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11020,-8092353] |
[a1,a2,a3,a4,a6] |
Generators |
[339:5705:1] |
Generators of the group modulo torsion |
j |
12994449551/2489452840 |
j-invariant |
L |
8.6706355758019 |
L(r)(E,1)/r! |
Ω |
0.17617605492278 |
Real period |
R |
4.1013119794557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050g2 14490ba2 |
Quadratic twists by: -3 5 |