Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11730o |
Isogeny class |
Conductor |
11730 |
Conductor |
∏ cp |
3780 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-4.5322583512667E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -1 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,59419,1024262145] |
[a1,a2,a3,a4,a6] |
Generators |
[-872:18031:1] |
Generators of the group modulo torsion |
j |
23200602903451843631/453225835126672588800 |
j-invariant |
L |
7.6789096217637 |
L(r)(E,1)/r! |
Ω |
0.13169790914427 |
Real period |
R |
0.015425131538495 |
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 |
93840bj1 35190s1 58650a1 |
Quadratic twists by: -4 -3 5 |