Atkin-Lehner |
2- 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592q |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-41825769216 = -1 · 28 · 3 · 7 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1044,16644] |
[a1,a2,a3,a4,a6] |
Generators |
[26:80:1] |
Generators of the group modulo torsion |
j |
-492040858192/163381911 |
j-invariant |
L |
3.0318060190711 |
L(r)(E,1)/r! |
Ω |
1.0801324124206 |
Real period |
R |
2.8068836599942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107184bh1 |
Quadratic twists by: -4 |