Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3724a |
Isogeny class |
Conductor |
3724 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1752499504 = -1 · 24 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[1015:32340:1] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
3.8636539210068 |
L(r)(E,1)/r! |
Ω |
0.77520466694504 |
Real period |
R |
4.9840436800166 |
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 |
14896bc1 59584bc1 33516n1 93100e1 |
Quadratic twists by: -4 8 -3 5 |