Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1254j |
Isogeny class |
Conductor |
1254 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
3960 |
Modular degree for the optimal curve |
Δ |
-2902956072984 = -1 · 23 · 315 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11+ -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11419,475817] |
[a1,a2,a3,a4,a6] |
j |
-164668416049678897/2902956072984 |
j-invariant |
L |
4.0234288863831 |
L(r)(E,1)/r! |
Ω |
0.80468577727662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10032k1 40128k1 3762k1 31350d1 |
Quadratic twists by: -4 8 -3 5 |