Atkin-Lehner |
3- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13869b |
Isogeny class |
Conductor |
13869 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-594272781 = -1 · 36 · 233 · 67 |
Discriminant |
Eigenvalues |
1 3- 1 4 -2 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36,1161] |
[a1,a2,a3,a4,a6] |
j |
6967871/815189 |
j-invariant |
L |
3.7578726864769 |
L(r)(E,1)/r! |
Ω |
1.2526242288256 |
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 |
1541a1 |
Quadratic twists by: -3 |