Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075p |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-52160865046875 = -1 · 35 · 56 · 135 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8333,451619] |
[a1,a2,a3,a4,a6] |
Generators |
[73:487:1] |
Generators of the group modulo torsion |
j |
-4096000000000/3338295363 |
j-invariant |
L |
4.7569956768694 |
L(r)(E,1)/r! |
Ω |
0.57910412121196 |
Real period |
R |
0.16428809613419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108225p1 1443a1 |
Quadratic twists by: -3 5 |