Atkin-Lehner |
2+ 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650g |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1240320 |
Modular degree for the optimal curve |
Δ |
-7668587520000000000 = -1 · 219 · 34 · 510 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,161550,130936500] |
[a1,a2,a3,a4,a6] |
j |
47746369578575/785263362048 |
j-invariant |
L |
0.69732545897733 |
L(r)(E,1)/r! |
Ω |
0.17433136431862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650ct1 |
Quadratic twists by: 5 |