Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450k |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3213523808000 = -1 · 28 · 53 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11+ -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2512,-98304] |
[a1,a2,a3,a4,a6] |
Generators |
[80:416:1] |
Generators of the group modulo torsion |
j |
-14027163209613/25708190464 |
j-invariant |
L |
2.6482235520884 |
L(r)(E,1)/r! |
Ω |
0.31784431855706 |
Real period |
R |
1.3886376639307 |
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 |
83600cr1 94050ef1 10450bc1 114950dg1 |
Quadratic twists by: -4 -3 5 -11 |