Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100m |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
866970000 = 24 · 33 · 54 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8958,329337] |
[a1,a2,a3,a4,a6] |
Generators |
[56:13:1] |
Generators of the group modulo torsion |
j |
7950700000000/86697 |
j-invariant |
L |
4.7845295555467 |
L(r)(E,1)/r! |
Ω |
1.4319330870045 |
Real period |
R |
0.55688467565306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100ba1 |
Quadratic twists by: 5 |