Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360d |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3514240000 = -1 · 210 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-541,5805] |
[a1,a2,a3,a4,a6] |
Generators |
[90:255:8] |
Generators of the group modulo torsion |
j |
-17132394496/3431875 |
j-invariant |
L |
7.8869825510244 |
L(r)(E,1)/r! |
Ω |
1.347842468233 |
Real period |
R |
2.9257805458753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bu1 12920n1 |
Quadratic twists by: -4 8 |