Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309p |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5927040 |
Modular degree for the optimal curve |
Δ |
-1.7735743660628E+23 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 5 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4972014,-19809239857] |
[a1,a2,a3,a4,a6] |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
2.7856800138118 |
L(r)(E,1)/r! |
Ω |
0.049744285960627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927be1 741d1 |
Quadratic twists by: -3 -7 |