Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850g |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
833627200000000000 = 215 · 511 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-249876,-19557102] |
[a1,a2,a3,a4,a6] |
j |
110426885440588081/53352140800000 |
j-invariant |
L |
0.89640752989962 |
L(r)(E,1)/r! |
Ω |
0.2241018824749 |
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 |
86800bu1 97650dj1 2170q1 75950n1 |
Quadratic twists by: -4 -3 5 -7 |