Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864c |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112128 |
Modular degree for the optimal curve |
Δ |
-36657741824 = -1 · 214 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ -3 -1 4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73648,-7692896] |
[a1,a2,a3,a4,a6] |
Generators |
[983587:24594301:1331] |
Generators of the group modulo torsion |
j |
-2696414447748096/2237411 |
j-invariant |
L |
2.821729414801 |
L(r)(E,1)/r! |
Ω |
0.14490364095345 |
Real period |
R |
9.7365718219171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864v1 3608d1 |
Quadratic twists by: -4 8 |