Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36252g |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
371961216100944 = 24 · 311 · 195 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130044,-18026399] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:9:1] |
Generators of the group modulo torsion |
j |
20851973263409152/31889679021 |
j-invariant |
L |
4.3902551536485 |
L(r)(E,1)/r! |
Ω |
0.25142986627793 |
Real period |
R |
2.910192027329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12084e1 |
Quadratic twists by: -3 |