Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694v |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.5076970401705E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,112044,322748496] |
[a1,a2,a3,a4,a6] |
j |
18191447/5271552 |
j-invariant |
L |
0.62670031863322 |
L(r)(E,1)/r! |
Ω |
0.15667518585626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154w1 9438v1 |
Quadratic twists by: -11 13 |