Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536p |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2950629888 = 29 · 3 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-832,-8588] |
[a1,a2,a3,a4,a6] |
Generators |
[81:670:1] |
Generators of the group modulo torsion |
j |
124550539784/5762949 |
j-invariant |
L |
4.0795946811853 |
L(r)(E,1)/r! |
Ω |
0.89139023944176 |
Real period |
R |
4.5766651918245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37536y3 75072cx4 112608q3 |
Quadratic twists by: -4 8 -3 |