Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200r |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-263533760000000 = -1 · 212 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 3 1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9800,686000] |
[a1,a2,a3,a4,a6] |
j |
13824/35 |
j-invariant |
L |
6.1734671858705 |
L(r)(E,1)/r! |
Ω |
0.38584169912361 |
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 |
39200t1 78400je1 7840u1 5600c1 |
Quadratic twists by: -4 8 5 -7 |