Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20394t |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
73600 |
Modular degree for the optimal curve |
Δ |
-1683656967979008 = -1 · 223 · 311 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71825,-7649535] |
[a1,a2,a3,a4,a6] |
Generators |
[791:20340:1] |
Generators of the group modulo torsion |
j |
-56210496209799625/2309543165952 |
j-invariant |
L |
7.8111739768249 |
L(r)(E,1)/r! |
Ω |
0.14546458954688 |
Real period |
R |
0.58367514203948 |
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 |
6798d1 |
Quadratic twists by: -3 |