Atkin-Lehner |
3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309a |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-166596984099 = -1 · 32 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3+ 3 7+ -3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1936,37423] |
[a1,a2,a3,a4,a6] |
Generators |
[22:67:1] |
Generators of the group modulo torsion |
j |
-139317577/28899 |
j-invariant |
L |
6.857034521038 |
L(r)(E,1)/r! |
Ω |
0.97624269930897 |
Real period |
R |
1.7559758771797 |
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 |
108927f1 36309u1 |
Quadratic twists by: -3 -7 |