Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bn |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-24202800000000 = -1 · 210 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,745,-236753] |
[a1,a2,a3,a4,a6] |
Generators |
[59:70:1] |
Generators of the group modulo torsion |
j |
4019679/2124800 |
j-invariant |
L |
9.9889311521395 |
L(r)(E,1)/r! |
Ω |
0.31496199543551 |
Real period |
R |
1.5857359454318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150d1 7470h1 |
Quadratic twists by: -3 5 |