Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312bg |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-67616863337889792 = -1 · 214 · 35 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 4 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64017,-13999473] |
[a1,a2,a3,a4,a6] |
j |
-104272/243 |
j-invariant |
L |
1.4017820226322 |
L(r)(E,1)/r! |
Ω |
0.14017820273714 |
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 |
69312cf1 8664b1 69312r1 |
Quadratic twists by: -4 8 -19 |