Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350a |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
896400000000 = 210 · 33 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2442,9716] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:193:1] |
Generators of the group modulo torsion |
j |
3818360547/2124800 |
j-invariant |
L |
3.2736047446379 |
L(r)(E,1)/r! |
Ω |
0.76756957213852 |
Real period |
R |
1.0662241129221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37350be1 7470j1 |
Quadratic twists by: -3 5 |