Atkin-Lehner |
2- 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892t |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-1803093772120591104 = -1 · 28 · 312 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235069,78012479] |
[a1,a2,a3,a4,a6] |
j |
-973391060992/1221782859 |
j-invariant |
L |
5.7350008189618 |
L(r)(E,1)/r! |
Ω |
0.23895835019582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
122892g1 |
Quadratic twists by: -7 |