Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1050n |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
11400 |
Modular degree for the optimal curve |
Δ |
-348364800000000 = -1 · 219 · 35 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 7 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-157388,-24115219] |
[a1,a2,a3,a4,a6] |
j |
-1103770289367265/891813888 |
j-invariant |
L |
2.2769799076642 |
L(r)(E,1)/r! |
Ω |
0.1198410477718 |
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 |
8400cn1 33600do1 3150t1 1050f1 |
Quadratic twists by: -4 8 -3 5 |