Atkin-Lehner |
2- 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592bh |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
900 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-83810373953999616 = -1 · 28 · 35 · 73 · 115 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15212,13942224] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:1218:1] [558:13398:1] |
Generators of the group modulo torsion |
j |
-1520796996637648/327384273257811 |
j-invariant |
L |
10.070768386772 |
L(r)(E,1)/r! |
Ω |
0.27848510011387 |
Real period |
R |
0.040180758853505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107184g1 |
Quadratic twists by: -4 |