Atkin-Lehner |
2- 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650de |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
407680 |
Modular degree for the optimal curve |
Δ |
-3182418175781250 = -1 · 2 · 313 · 59 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23612,-2325358] |
[a1,a2,a3,a4,a6] |
j |
745402503763/1629398106 |
j-invariant |
L |
6.0538718672886 |
L(r)(E,1)/r! |
Ω |
0.23284122657333 |
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 |
76650u1 |
Quadratic twists by: 5 |