Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850p |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1814997715200 = -1 · 28 · 36 · 52 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,243,64741] |
[a1,a2,a3,a4,a6] |
j |
86869895/99588352 |
j-invariant |
L |
2.6138893307318 |
L(r)(E,1)/r! |
Ω |
0.65347233268274 |
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 |
3650k1 32850cd1 |
Quadratic twists by: -3 5 |