Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3740b |
Isogeny class |
Conductor |
3740 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-144812800 = -1 · 28 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,1639] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:55:1] |
Generators of the group modulo torsion |
j |
-7710244864/565675 |
j-invariant |
L |
2.1746123631214 |
L(r)(E,1)/r! |
Ω |
1.8013823264258 |
Real period |
R |
0.60359545311964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14960d1 59840k1 33660i1 18700h1 |
Quadratic twists by: -4 8 -3 5 |