Atkin-Lehner |
5+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475j |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
306384000 |
Modular degree for the optimal curve |
Δ |
3.6512597346048E+30 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 5 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-201427668763,34795659943296892] |
[a1,a2,a3,a4,a6] |
j |
92550985602275383996701626892025/373888996823531672634277 |
j-invariant |
L |
1.9728696023402 |
L(r)(E,1)/r! |
Ω |
0.021920774022596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475p1 |
Quadratic twists by: 5 |