Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576bc |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
8953131958272 = 222 · 34 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7248,-191340] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:114:1] |
Generators of the group modulo torsion |
j |
10282015068625/2185823232 |
j-invariant |
L |
8.1219111029756 |
L(r)(E,1)/r! |
Ω |
0.52520069192168 |
Real period |
R |
1.9330494103203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322g1 |
Quadratic twists by: -4 |