Atkin-Lehner |
2- 3- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810u |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
4374 |
Product of Tamagawa factors cp |
deg |
1329696 |
Modular degree for the optimal curve |
Δ |
-1.69462737117E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35358150,80924422500] |
[a1,a2,a3,a4,a6] |
Generators |
[-6780:98250:1] |
Generators of the group modulo torsion |
j |
-4888687926204690735691893601/169462737117000000000 |
j-invariant |
L |
9.154663703303 |
L(r)(E,1)/r! |
Ω |
0.16926160040799 |
Real period |
R |
1.0015904901749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
9 |
Number of elements in the torsion subgroup |
Twists |
126480bd1 47430k1 79050f1 |
Quadratic twists by: -4 -3 5 |