Atkin-Lehner |
3+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
50589c |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-1164500622531477 = -1 · 33 · 79 · 114 · 73 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 11- -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4314,1637125] |
[a1,a2,a3,a4,a6] |
j |
328809034296261/43129652686351 |
j-invariant |
L |
2.9999751631888 |
L(r)(E,1)/r! |
Ω |
0.37499689543246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50589a1 |
Quadratic twists by: -3 |