Atkin-Lehner |
3- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135i |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
79027245 = 39 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- -4 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12072,-510525] |
[a1,a2,a3,a4,a6] |
Generators |
[-4060:-5:64] |
Generators of the group modulo torsion |
j |
266890960175104/108405 |
j-invariant |
L |
3.7874413598622 |
L(r)(E,1)/r! |
Ω |
0.45546473691176 |
Real period |
R |
2.0788883600197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12045c1 |
Quadratic twists by: -3 |