Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
16206i |
Isogeny class |
Conductor |
16206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
-97236 = -1 · 22 · 32 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -4 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14,24] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
-304821217/97236 |
j-invariant |
L |
8.6961635403642 |
L(r)(E,1)/r! |
Ω |
3.1877659301646 |
Real period |
R |
0.68199514416003 |
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 |
129648u1 48618c1 |
Quadratic twists by: -4 -3 |