Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822t |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-2.4808493704336E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1670535,-865615107] |
[a1,a2,a3,a4,a6] |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
1.3242449964547 |
L(r)(E,1)/r! |
Ω |
0.066212249823721 |
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 |
110466h1 1938e1 |
Quadratic twists by: -3 -19 |