Atkin-Lehner |
2- 3- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394bb |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-105722496 = -1 · 27 · 36 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49,-489] |
[a1,a2,a3,a4,a6] |
Generators |
[11:30:1] |
Generators of the group modulo torsion |
j |
18191447/145024 |
j-invariant |
L |
6.8783149689068 |
L(r)(E,1)/r! |
Ω |
0.93472955631062 |
Real period |
R |
0.52561535980949 |
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 |
2266a1 |
Quadratic twists by: -3 |