Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3312d |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-20530186553088 = -1 · 28 · 320 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26175,1644478] |
[a1,a2,a3,a4,a6] |
Generators |
[113:360:1] |
Generators of the group modulo torsion |
j |
-10627137250000/110008287 |
j-invariant |
L |
3.6224125569307 |
L(r)(E,1)/r! |
Ω |
0.68572420815918 |
Real period |
R |
2.6413042691427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1656d1 13248bl1 1104b1 82800v1 |
Quadratic twists by: -4 8 -3 5 |