Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160es |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-18215746560 = -1 · 210 · 35 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3065,64623] |
[a1,a2,a3,a4,a6] |
j |
-212464384/1215 |
j-invariant |
L |
6.1637609834229 |
L(r)(E,1)/r! |
Ω |
1.2327521790355 |
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 |
116160he1 7260e1 116160ew1 |
Quadratic twists by: -4 8 -11 |