Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100s |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-146256171750000 = -1 · 24 · 38 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9942,-435987] |
[a1,a2,a3,a4,a6] |
Generators |
[213:3375:1] |
Generators of the group modulo torsion |
j |
434671630592/585024687 |
j-invariant |
L |
9.6092577840696 |
L(r)(E,1)/r! |
Ω |
0.30882109795197 |
Real period |
R |
1.944746053402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2964d1 |
Quadratic twists by: 5 |