Atkin-Lehner |
2- 11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728r |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
-2439941910500999168 = -1 · 231 · 112 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 3 -4 1 11- -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339067,-106878550] |
[a1,a2,a3,a4,a6] |
j |
-1052495712538571601/595688942993408 |
j-invariant |
L |
1.5423682349228 |
L(r)(E,1)/r! |
Ω |
0.096398153421666 |
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 |
15466d1 |
Quadratic twists by: -4 |