Atkin-Lehner |
2+ 3+ 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450f |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
2003550 = 2 · 3 · 52 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-370,2590] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-14:1] |
Generators of the group modulo torsion |
j |
225020248465/80142 |
j-invariant |
L |
1.6614871057455 |
L(r)(E,1)/r! |
Ω |
2.5714798081745 |
Real period |
R |
0.32306050684246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997918581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450cr1 |
Quadratic twists by: 5 |