Atkin-Lehner |
2- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342k |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16934400 |
Modular degree for the optimal curve |
Δ |
-5.6768467566971E+23 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -1 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-234259446,-1380542236508] |
[a1,a2,a3,a4,a6] |
j |
-246621382397539662157729/98474288300621824 |
j-invariant |
L |
2.4697036728149 |
L(r)(E,1)/r! |
Ω |
0.01929455999074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342bd1 |
Quadratic twists by: -7 |