Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600bx |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
249482025000000 = 26 · 310 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19425,713000] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:900:1] |
Generators of the group modulo torsion |
j |
1111934656/342225 |
j-invariant |
L |
4.0099672733332 |
L(r)(E,1)/r! |
Ω |
0.51351802730693 |
Real period |
R |
1.9522037496897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989171 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600bw1 31200bq1 18720bm1 |
Quadratic twists by: -4 -3 5 |