Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bw |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
3102373226993755869 = 37 · 713 · 114 |
Discriminant |
Eigenvalues |
2 3- -3 7- 11- 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-658119,187209657] |
[a1,a2,a3,a4,a6] |
j |
25104437248/2470629 |
j-invariant |
L |
1.9647278669753 |
L(r)(E,1)/r! |
Ω |
0.24559098357154 |
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 |
17787be1 7623r1 53361ce1 |
Quadratic twists by: -3 -7 -11 |