Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075r |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3424306640625 = 36 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5876,-149227] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:64:1] |
Generators of the group modulo torsion |
j |
1435630901041/219155625 |
j-invariant |
L |
8.8438253158778 |
L(r)(E,1)/r! |
Ω |
0.55089382359453 |
Real period |
R |
2.675598859254 |
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 |
108225r1 7215d1 |
Quadratic twists by: -3 5 |