Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350a |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-31050 = -1 · 2 · 33 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
3645/46 |
j-invariant |
L |
3.2730972795583 |
L(r)(E,1)/r! |
Ω |
1.8202616405248 |
Real period |
R |
0.89907329987314 |
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 |
82800cn1 10350bd1 10350bf1 |
Quadratic twists by: -4 -3 5 |