Atkin-Lehner |
3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975h |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
367200 |
Modular degree for the optimal curve |
Δ |
-148761075491495325 = -1 · 310 · 52 · 173 · 295 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 -4 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104128,22575566] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:3705:1] [-306:5242:1] |
Generators of the group modulo torsion |
j |
-4994437064359675945/5950443019659813 |
j-invariant |
L |
4.9695008371216 |
L(r)(E,1)/r! |
Ω |
0.29468573869058 |
Real period |
R |
1.686373035629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925z1 36975bi1 |
Quadratic twists by: -3 5 |