Atkin-Lehner |
11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20449c |
Isogeny class |
Conductor |
20449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
1283144424133 = 112 · 139 |
Discriminant |
Eigenvalues |
1 -1 2 -2 11- 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3214,42827] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:355:1] [638:4075:8] |
Generators of the group modulo torsion |
j |
6289657/2197 |
j-invariant |
L |
7.9359674723294 |
L(r)(E,1)/r! |
Ω |
0.78980418182177 |
Real period |
R |
2.5120047649104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20449e1 1573c1 |
Quadratic twists by: -11 13 |