Atkin-Lehner |
2- 3- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450ce |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
-14799263266406250 = -1 · 2 · 39 · 58 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238213,-45151333] |
[a1,a2,a3,a4,a6] |
Generators |
[46246:3480127:8] |
Generators of the group modulo torsion |
j |
-95675375569974409/947152849050 |
j-invariant |
L |
11.750973441436 |
L(r)(E,1)/r! |
Ω |
0.10798708661644 |
Real period |
R |
6.0454622583317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090a1 |
Quadratic twists by: 5 |