Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040ch |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-4096400000000000 = -1 · 213 · 511 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11389840,-14791530688] |
[a1,a2,a3,a4,a6] |
j |
-39894834911270587007761/1000097656250 |
j-invariant |
L |
1.8079775217757 |
L(r)(E,1)/r! |
Ω |
0.041090379220125 |
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 |
14630u1 |
Quadratic twists by: -4 |