Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810p |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
-64050 = -1 · 2 · 3 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10,5] |
[a1,a2,a3,a4,a6] |
j |
109902239/64050 |
j-invariant |
L |
4.2167664405064 |
L(r)(E,1)/r! |
Ω |
2.1083832202532 |
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 |
102480cp1 38430k1 64050bh1 89670cf1 |
Quadratic twists by: -4 -3 5 -7 |