Atkin-Lehner |
2- 3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458be |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-13829027368464 = -1 · 24 · 36 · 75 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1181,179893] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:452:1] |
Generators of the group modulo torsion |
j |
-249689960073/18969859216 |
j-invariant |
L |
13.610287762223 |
L(r)(E,1)/r! |
Ω |
0.58167476895969 |
Real period |
R |
0.58496123986481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162d1 |
Quadratic twists by: -3 |