Atkin-Lehner |
3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105393d |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8293824 |
Modular degree for the optimal curve |
Δ |
-6.6695129515104E+20 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 2 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3513716,2824412540] |
[a1,a2,a3,a4,a6] |
j |
-758949835165696/105507513171 |
j-invariant |
L |
0.31265259639679 |
L(r)(E,1)/r! |
Ω |
0.15632628448867 |
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 |
2451i1 |
Quadratic twists by: -43 |