Atkin-Lehner |
2+ 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56950i |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
796480 |
Modular degree for the optimal curve |
Δ |
-78144512000000000 = -1 · 219 · 59 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 4 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-232700,45154000] |
[a1,a2,a3,a4,a6] |
j |
-713486465382293/40009990144 |
j-invariant |
L |
1.3557573200608 |
L(r)(E,1)/r! |
Ω |
0.33893933013677 |
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 |
56950r1 |
Quadratic twists by: 5 |