Atkin-Lehner |
2- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56848i |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-3994451419192568576 = -1 · 28 · 11 · 174 · 198 |
Discriminant |
Eigenvalues |
2- 3 1 -2 11- 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47512,-96240868] |
[a1,a2,a3,a4,a6] |
Generators |
[7328662876266:399534864035642:2444008923] |
Generators of the group modulo torsion |
j |
-46333348065386496/15603325856220971 |
j-invariant |
L |
11.612681541778 |
L(r)(E,1)/r! |
Ω |
0.11083215903744 |
Real period |
R |
13.097148023904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14212b1 |
Quadratic twists by: -4 |