Atkin-Lehner |
3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
93615l |
Isogeny class |
Conductor |
93615 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-5120242233434643375 = -1 · 33 · 53 · 798 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,274474,93772755] |
[a1,a2,a3,a4,a6] |
Generators |
[1219813:-74215793:343] |
Generators of the group modulo torsion |
j |
9407293631/21063375 |
j-invariant |
L |
5.773964338811 |
L(r)(E,1)/r! |
Ω |
0.16841926581371 |
Real period |
R |
11.427758991507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1185a1 |
Quadratic twists by: -79 |