Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640q |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-81462500000000 = -1 · 28 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -2 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10817,32618] |
[a1,a2,a3,a4,a6] |
Generators |
[5574:89810:27] |
Generators of the group modulo torsion |
j |
546769443677616/318212890625 |
j-invariant |
L |
7.1473010995043 |
L(r)(E,1)/r! |
Ω |
0.36706830018214 |
Real period |
R |
6.4904370621289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2660a1 42560dj1 95760fd1 53200bp1 |
Quadratic twists by: -4 8 -3 5 |