Atkin-Lehner |
2+ 3+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10494a |
Isogeny class |
Conductor |
10494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
13668728832 = 214 · 33 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1803,29381] |
[a1,a2,a3,a4,a6] |
Generators |
[49:214:1] |
Generators of the group modulo torsion |
j |
24015001179051/506249216 |
j-invariant |
L |
3.2701564211736 |
L(r)(E,1)/r! |
Ω |
1.2552368402723 |
Real period |
R |
1.3026053395884 |
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 |
83952j1 10494c1 115434bf1 |
Quadratic twists by: -4 -3 -11 |