Atkin-Lehner |
13+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106301d |
Isogeny class |
Conductor |
106301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-5690070607634621 = -1 · 136 · 17 · 375 |
Discriminant |
Eigenvalues |
1 0 -3 1 5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28846,4097133] |
[a1,a2,a3,a4,a6] |
j |
-549957165057/1178847269 |
j-invariant |
L |
0.75919455565298 |
L(r)(E,1)/r! |
Ω |
0.37959749438131 |
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 |
629d1 |
Quadratic twists by: 13 |