Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-15980544000 = -1 · 214 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,6417] |
[a1,a2,a3,a4,a6] |
Generators |
[11:68:1] |
Generators of the group modulo torsion |
j |
-1102736/7803 |
j-invariant |
L |
5.2983449875709 |
L(r)(E,1)/r! |
Ω |
1.0657001127445 |
Real period |
R |
1.2429258771216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jo1 10200bp1 81600ef1 |
Quadratic twists by: -4 8 5 |