Atkin-Lehner |
2- 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41736g |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
-96159744 = -1 · 211 · 33 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 4 -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-864,9504] |
[a1,a2,a3,a4,a6] |
Generators |
[15:12:1] |
Generators of the group modulo torsion |
j |
-34868843714/46953 |
j-invariant |
L |
8.3944859359271 |
L(r)(E,1)/r! |
Ω |
1.8943382815643 |
Real period |
R |
1.4771184248741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83472f1 125208f1 |
Quadratic twists by: -4 -3 |