Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60552a |
Isogeny class |
Conductor |
60552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7451946565488 = -1 · 24 · 33 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 3 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12615,560947] |
[a1,a2,a3,a4,a6] |
Generators |
[203:2523:1] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
6.257349704237 |
L(r)(E,1)/r! |
Ω |
0.73891396947521 |
Real period |
R |
1.0585382674335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121104b1 60552m1 2088i1 |
Quadratic twists by: -4 -3 29 |