Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400t |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20064 |
Modular degree for the optimal curve |
Δ |
-2732800 = -1 · 28 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,77] |
[a1,a2,a3,a4,a6] |
j |
5120/427 |
j-invariant |
L |
3.907167993363 |
L(r)(E,1)/r! |
Ω |
1.9535840291574 |
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 |
85400o1 |
Quadratic twists by: 5 |