Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36252a |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
435024 = 24 · 33 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,233] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
95551488/1007 |
j-invariant |
L |
6.6162134806393 |
L(r)(E,1)/r! |
Ω |
2.9892708006278 |
Real period |
R |
0.36888670191461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36252e1 |
Quadratic twists by: -3 |