Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608t |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
76860088123392 = 222 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31212,-2080080] |
[a1,a2,a3,a4,a6] |
j |
651714363/14896 |
j-invariant |
L |
1.438744098222 |
L(r)(E,1)/r! |
Ω |
0.35968601757877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dl1 2394i1 76608s1 |
Quadratic twists by: -4 8 -3 |