Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400es |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
861643008000000 = 214 · 311 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343875,-77602750] |
[a1,a2,a3,a4,a6] |
Generators |
[2309333:-59046064:2197] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
8.3860096585461 |
L(r)(E,1)/r! |
Ω |
0.19715345723428 |
Real period |
R |
10.633860770333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550n1 22800bw1 2736o1 |
Quadratic twists by: -4 -3 5 |