Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820h |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-141454460160 = -1 · 28 · 37 · 5 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1257,-5762] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2034:1] |
Generators of the group modulo torsion |
j |
1176960944/757965 |
j-invariant |
L |
4.818783977834 |
L(r)(E,1)/r! |
Ω |
0.59159124920447 |
Real period |
R |
4.0727309475565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17940k1 |
Quadratic twists by: -3 |