Atkin-Lehner |
2- 7- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
105742m |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-92414701288 = -1 · 23 · 77 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 5 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24436,-1464193] |
[a1,a2,a3,a4,a6] |
Generators |
[219:1801:1] |
Generators of the group modulo torsion |
j |
-13715421517953/785512 |
j-invariant |
L |
9.3607945547457 |
L(r)(E,1)/r! |
Ω |
0.19092461612457 |
Real period |
R |
2.0428644291615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106e1 |
Quadratic twists by: -7 |