Atkin-Lehner |
2+ 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642k |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112128 |
Modular degree for the optimal curve |
Δ |
-555847118848 = -1 · 212 · 73 · 172 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5483,-158971] |
[a1,a2,a3,a4,a6] |
j |
-53153134832799/1620545536 |
j-invariant |
L |
1.1076223929953 |
L(r)(E,1)/r! |
Ω |
0.2769055972209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61642i1 |
Quadratic twists by: -7 |