Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309c |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-30599446059 = -1 · 34 · 76 · 132 · 19 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,-8485] |
[a1,a2,a3,a4,a6] |
Generators |
[27:58:1] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
2.7080952201561 |
L(r)(E,1)/r! |
Ω |
0.50358875436815 |
Real period |
R |
1.3443981803929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927k1 741e1 |
Quadratic twists by: -3 -7 |