Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128o |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-3292111472622336 = -1 · 28 · 310 · 73 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -6 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103017,12988251] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-546:1] [267:2142:1] |
Generators of the group modulo torsion |
j |
-472296424683977728/12859810439931 |
j-invariant |
L |
8.8775852367466 |
L(r)(E,1)/r! |
Ω |
0.44593460553884 |
Real period |
R |
0.027649748062461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256h1 111384cs1 |
Quadratic twists by: -4 -3 |