Atkin-Lehner |
2+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74176b |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8413422403715072 = -1 · 219 · 19 · 615 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 3 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5248961,-4630442593] |
[a1,a2,a3,a4,a6] |
Generators |
[135108132278728544639035177911793:-5992341377624733083543717395443040:36371180910362411838025205891] |
Generators of the group modulo torsion |
j |
-61010405398305333361/32094659438 |
j-invariant |
L |
9.9970880254031 |
L(r)(E,1)/r! |
Ω |
0.049871358881867 |
Real period |
R |
50.114375513026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176q2 2318e2 |
Quadratic twists by: -4 8 |