Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7470m |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
84070991901870 = 2 · 311 · 5 · 834 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-117932,-15552399] |
[a1,a2,a3,a4,a6] |
j |
248821396200377209/115323720030 |
j-invariant |
L |
4.1221518856856 |
L(r)(E,1)/r! |
Ω |
0.25763449285535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760bm4 2490b3 37350p4 |
Quadratic twists by: -4 -3 5 |