Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bb |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-2.6682256156262E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 0 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600453,172313514] |
[a1,a2,a3,a4,a6] |
Generators |
[973:40960:1] |
Generators of the group modulo torsion |
j |
296967914223813/330956800000 |
j-invariant |
L |
6.8555967230167 |
L(r)(E,1)/r! |
Ω |
0.14043841936115 |
Real period |
R |
1.2203919611172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090n1 72720y1 |
Quadratic twists by: -4 -3 |