Atkin-Lehner |
3- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
60225x |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
25407421875 = 34 · 58 · 11 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1388,-18483] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:49:1] |
Generators of the group modulo torsion |
j |
757097185/65043 |
j-invariant |
L |
2.4751682526958 |
L(r)(E,1)/r! |
Ω |
0.78645155220125 |
Real period |
R |
0.26227174513956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60225c1 |
Quadratic twists by: 5 |