Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ga |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-16730550000000000 = -1 · 210 · 39 · 511 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -5 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17033,-6276063] |
[a1,a2,a3,a4,a6] |
j |
-34158804736/1045659375 |
j-invariant |
L |
0.33963826398479 |
L(r)(E,1)/r! |
Ω |
0.16981915941795 |
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 |
81600di1 20400dh1 16320cr1 |
Quadratic twists by: -4 8 5 |