Atkin-Lehner |
2- 7- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105742f |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-398861850759008 = -1 · 25 · 77 · 133 · 832 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15289,-1211673] |
[a1,a2,a3,a4,a6] |
Generators |
[419:7924:1] |
Generators of the group modulo torsion |
j |
-3359498792833/3390269792 |
j-invariant |
L |
6.097043014409 |
L(r)(E,1)/r! |
Ω |
0.20629433055653 |
Real period |
R |
0.73887670726024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106h1 |
Quadratic twists by: -7 |