Atkin-Lehner |
3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105393f |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-67981353692067 = -1 · 38 · 194 · 433 |
Discriminant |
Eigenvalues |
0 3+ 0 -4 -1 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11323,614064] |
[a1,a2,a3,a4,a6] |
Generators |
[72:408:1] [-838:6395:8] |
Generators of the group modulo torsion |
j |
-2019487744000/855036081 |
j-invariant |
L |
6.5871346033629 |
L(r)(E,1)/r! |
Ω |
0.5788293481544 |
Real period |
R |
0.71125611360063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105393l1 |
Quadratic twists by: -43 |