Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420bh |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-8745433709040 = -1 · 24 · 32 · 5 · 710 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63226,6099785] |
[a1,a2,a3,a4,a6] |
j |
-6184681216/1935 |
j-invariant |
L |
4.3060951958996 |
L(r)(E,1)/r! |
Ω |
0.71768272864267 |
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 |
126420l1 |
Quadratic twists by: -7 |