Atkin-Lehner |
2+ 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61642f |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
415800 |
Modular degree for the optimal curve |
Δ |
-2483068937961472 = -1 · 225 · 76 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31189,3187437] |
[a1,a2,a3,a4,a6] |
j |
-28520791922377/21105737728 |
j-invariant |
L |
3.7895980966386 |
L(r)(E,1)/r! |
Ω |
0.42106645526721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1258c1 |
Quadratic twists by: -7 |