Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bg |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1276319531250 = -1 · 2 · 39 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2320,-33803] |
[a1,a2,a3,a4,a6] |
Generators |
[868840:42449:64000] |
Generators of the group modulo torsion |
j |
179685/166 |
j-invariant |
L |
9.1489646251345 |
L(r)(E,1)/r! |
Ω |
0.47121344097494 |
Real period |
R |
9.7078773964978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37350e1 37350c1 |
Quadratic twists by: -3 5 |