Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10450t |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
158056250000 = 24 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13338,-593708] |
[a1,a2,a3,a4,a6] |
j |
16794916941529/10115600 |
j-invariant |
L |
1.7770612573845 |
L(r)(E,1)/r! |
Ω |
0.44426531434613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83600cb1 94050ba1 2090b1 114950be1 |
Quadratic twists by: -4 -3 5 -11 |