Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720bm |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2953403809136640 = -1 · 218 · 37 · 5 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9723,-2640598] |
[a1,a2,a3,a4,a6] |
Generators |
[199:1818:1] [397:7488:1] |
Generators of the group modulo torsion |
j |
-34043726521/989088960 |
j-invariant |
L |
10.08536621283 |
L(r)(E,1)/r! |
Ω |
0.19603621051185 |
Real period |
R |
1.0718009471468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090v2 24240z2 |
Quadratic twists by: -4 -3 |