Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100be |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
1043225316446562000 = 24 · 316 · 53 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-833520,288750125] |
[a1,a2,a3,a4,a6] |
Generators |
[85254:995743:216] |
Generators of the group modulo torsion |
j |
43925252149870592/715518049689 |
j-invariant |
L |
7.4541119067757 |
L(r)(E,1)/r! |
Ω |
0.27721403679413 |
Real period |
R |
6.7223434940143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700i1 53100bf1 |
Quadratic twists by: -3 5 |