Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222d |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-4014594532265951232 = -1 · 220 · 310 · 233 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39470,96457533] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-10509:1] |
Generators of the group modulo torsion |
j |
-9327972294537625/5506988384452608 |
j-invariant |
L |
8.9830843908406 |
L(r)(E,1)/r! |
Ω |
0.2002250301804 |
Real period |
R |
1.1216235531026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074k1 |
Quadratic twists by: -3 |