Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3816a |
Isogeny class |
Conductor |
3816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-712157184 = -1 · 211 · 38 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 -3 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,2302] |
[a1,a2,a3,a4,a6] |
j |
-1825346/477 |
j-invariant |
L |
3.0555538001684 |
L(r)(E,1)/r! |
Ω |
1.5277769000842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7632a1 30528w1 1272a1 95400bf1 |
Quadratic twists by: -4 8 -3 5 |