Atkin-Lehner |
2- 3+ 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170s |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
5438166862500 = 22 · 39 · 55 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40988,-3181733] |
[a1,a2,a3,a4,a6] |
j |
386894600538363/276287500 |
j-invariant |
L |
2.6843849946515 |
L(r)(E,1)/r! |
Ω |
0.33554812562811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170d1 |
Quadratic twists by: -3 |