Atkin-Lehner |
2- 3- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254cb |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
893760 |
Modular degree for the optimal curve |
Δ |
-9275794663145472 = -1 · 219 · 32 · 78 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51843,-6493887] |
[a1,a2,a3,a4,a6] |
Generators |
[494:9161:1] |
Generators of the group modulo torsion |
j |
-2673069744625/1609039872 |
j-invariant |
L |
13.9798480748 |
L(r)(E,1)/r! |
Ω |
0.15396193334762 |
Real period |
R |
0.79649718346281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254bl1 |
Quadratic twists by: -7 |