Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075s |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
408960 |
Modular degree for the optimal curve |
Δ |
-155700637324856325 = -1 · 312 · 52 · 132 · 375 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -6 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,87654,16151773] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:3192:1] |
Generators of the group modulo torsion |
j |
2979243799349127935/6228025492994253 |
j-invariant |
L |
8.115896628491 |
L(r)(E,1)/r! |
Ω |
0.22452074507762 |
Real period |
R |
1.506151956709 |
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 |
108225t1 36075j1 |
Quadratic twists by: -3 5 |