Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bd |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-4.5556944776191E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 4 3 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2392434,1756517076] |
[a1,a2,a3,a4,a6] |
j |
-17657448289261201/5311764627456 |
j-invariant |
L |
1.8947799407624 |
L(r)(E,1)/r! |
Ω |
0.15789832839629 |
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 |
12054bh1 5166i1 |
Quadratic twists by: -3 -7 |