Atkin-Lehner |
2- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101824k |
Isogeny class |
Conductor |
101824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-964476928 = -1 · 214 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 -2 1 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-773,8669] |
[a1,a2,a3,a4,a6] |
Generators |
[4:75:1] |
Generators of the group modulo torsion |
j |
-3121792000/58867 |
j-invariant |
L |
9.8546771954603 |
L(r)(E,1)/r! |
Ω |
1.5677254690402 |
Real period |
R |
3.1429856172058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101824e1 25456a1 |
Quadratic twists by: -4 8 |