Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bh |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
27720225000000 = 26 · 38 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14925,-654500] |
[a1,a2,a3,a4,a6] |
Generators |
[2345:113400:1] |
Generators of the group modulo torsion |
j |
504358336/38025 |
j-invariant |
L |
7.2658095706303 |
L(r)(E,1)/r! |
Ω |
0.43399691744586 |
Real period |
R |
4.1854039063156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994774 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600dt1 31200cb1 18720bj1 |
Quadratic twists by: -4 -3 5 |