Atkin-Lehner |
23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22103b |
Isogeny class |
Conductor |
22103 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-632790124553 = -1 · 23 · 317 |
Discriminant |
Eigenvalues |
1 -1 0 -3 4 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-500,-38723] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1033:1] [1268:44533:1] |
Generators of the group modulo torsion |
j |
-15625/713 |
j-invariant |
L |
7.2843788440133 |
L(r)(E,1)/r! |
Ω |
0.39943667641601 |
Real period |
R |
4.5591574798381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
713a1 |
Quadratic twists by: -31 |