Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88920x |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
116480 |
Modular degree for the optimal curve |
Δ |
-1067040000000 = -1 · 211 · 33 · 57 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 5 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3147,-84186] |
[a1,a2,a3,a4,a6] |
j |
-62333315046/19296875 |
j-invariant |
L |
4.3922786323094 |
L(r)(E,1)/r! |
Ω |
0.31373418613585 |
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 |
88920b1 |
Quadratic twists by: -3 |