Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744g |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-4852224 = -1 · 29 · 36 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 2 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-106] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
3.1704609590279 |
L(r)(E,1)/r! |
Ω |
1.1010851918204 |
Real period |
R |
1.4396983006311 |
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 |
3744o1 7488m1 416b1 93600dl1 |
Quadratic twists by: -4 8 -3 5 |