Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350cc |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-4238276290699062500 = -1 · 22 · 57 · 711 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-259063,111187281] |
[a1,a2,a3,a4,a6] |
j |
-17941516933339/39546534860 |
j-invariant |
L |
1.7486435122753 |
L(r)(E,1)/r! |
Ω |
0.21858047184318 |
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 |
25270j1 126350d1 |
Quadratic twists by: 5 -19 |