Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592r |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-84032256 = -1 · 28 · 3 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] [9:36:1] |
Generators of the group modulo torsion |
j |
427694384/328251 |
j-invariant |
L |
8.8713856284349 |
L(r)(E,1)/r! |
Ω |
1.0708740077425 |
Real period |
R |
0.69035398222176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107184z1 |
Quadratic twists by: -4 |