Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360bb |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2304324000000 = 28 · 32 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4196,-76320] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:126:1] |
Generators of the group modulo torsion |
j |
31922263879504/9001265625 |
j-invariant |
L |
6.3591379650709 |
L(r)(E,1)/r! |
Ω |
0.60585432839789 |
Real period |
R |
2.6240375231315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60720f2 91080x2 |
Quadratic twists by: -4 -3 |