Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bg |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.290642569431E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12603109,1476175691] |
[a1,a2,a3,a4,a6] |
j |
2581315285024874663/1504839620100096 |
j-invariant |
L |
3.0195372030335 |
L(r)(E,1)/r! |
Ω |
0.062907025063203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114l1 3906q1 |
Quadratic twists by: -3 -7 |