Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10450a |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-188334080000000 = -1 · 220 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93817,-11056659] |
[a1,a2,a3,a4,a6] |
Generators |
[354347:10635689:343] |
Generators of the group modulo torsion |
j |
-5844547788286689/12053381120 |
j-invariant |
L |
2.2315823913547 |
L(r)(E,1)/r! |
Ω |
0.13637830461495 |
Real period |
R |
8.1815886979067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600ca1 94050de1 2090j1 114950cr1 |
Quadratic twists by: -4 -3 5 -11 |