Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1050f |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2280 |
Modular degree for the optimal curve |
Δ |
-22295347200 = -1 · 219 · 35 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -7 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6296,-192922] |
[a1,a2,a3,a4,a6] |
j |
-1103770289367265/891813888 |
j-invariant |
L |
1.3398636465627 |
L(r)(E,1)/r! |
Ω |
0.26797272931254 |
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 |
8400bo1 33600h1 3150bg1 1050n1 |
Quadratic twists by: -4 8 -3 5 |