Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850do |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
1568 |
Product of Tamagawa factors cp |
deg |
915812352 |
Modular degree for the optimal curve |
Δ |
-9.0337461209487E+33 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51297118130,6396021172664497] |
[a1,a2,a3,a4,a6] |
j |
-48539052565541114766880565763/29373558489088000000000000 |
j-invariant |
L |
4.7184800269071 |
L(r)(E,1)/r! |
Ω |
0.012036939115314 |
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 |
113850e1 22770c1 |
Quadratic twists by: -3 5 |