Atkin-Lehner |
2- 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28638p |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1759488 |
Modular degree for the optimal curve |
Δ |
-6.8456161897157E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 1 1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1952536,3839243865] |
[a1,a2,a3,a4,a6] |
j |
1129258952402711594183/9390420013327481358 |
j-invariant |
L |
3.500833212631 |
L(r)(E,1)/r! |
Ω |
0.097245367017536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546c1 |
Quadratic twists by: -3 |