Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376z |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-225176039424 = -1 · 212 · 310 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -5 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23277,-1374885] |
[a1,a2,a3,a4,a6] |
j |
-6949720863232/1121931 |
j-invariant |
L |
3.865111810972 |
L(r)(E,1)/r! |
Ω |
0.19325558174463 |
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 |
89376i1 89376b1 |
Quadratic twists by: -4 -7 |