Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222f |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4689873291384 = 23 · 314 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 0 6 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9941,369461] |
[a1,a2,a3,a4,a6] |
Generators |
[85:322:1] |
Generators of the group modulo torsion |
j |
149020304955913/6433296696 |
j-invariant |
L |
8.1669517089178 |
L(r)(E,1)/r! |
Ω |
0.76431736262077 |
Real period |
R |
1.7808814567363 |
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 |
10074m2 |
Quadratic twists by: -3 |