Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650ce |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-657273750000 = -1 · 24 · 3 · 57 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1063,40781] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/42065520 |
j-invariant |
L |
3.1557035741639 |
L(r)(E,1)/r! |
Ω |
0.78892589254737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330n1 |
Quadratic twists by: 5 |