Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bo |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-11667833390367 = -1 · 312 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4356,199219] |
[a1,a2,a3,a4,a6] |
Generators |
[30:293:1] |
Generators of the group modulo torsion |
j |
-36561310759/46662561 |
j-invariant |
L |
8.8426669201228 |
L(r)(E,1)/r! |
Ω |
0.64640441516435 |
Real period |
R |
3.4199437395588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37191a1 111573bp1 |
Quadratic twists by: -3 -7 |