Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794bc |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-35544599904 = -1 · 25 · 3 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11- 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-789,12123] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:134:1] |
Generators of the group modulo torsion |
j |
-30664297/20064 |
j-invariant |
L |
6.924938821361 |
L(r)(E,1)/r! |
Ω |
1.0710624265838 |
Real period |
R |
0.3232742858625 |
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 |
110352cm1 41382x1 1254b1 |
Quadratic twists by: -4 -3 -11 |