Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600cu |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-159924375000000 = -1 · 26 · 39 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6075,-580500] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:13816:27] |
Generators of the group modulo torsion |
j |
1259712/8125 |
j-invariant |
L |
7.8157891127873 |
L(r)(E,1)/r! |
Ω |
0.28724670602293 |
Real period |
R |
6.8023313569104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600f1 93600e1 18720c1 |
Quadratic twists by: -4 -3 5 |