Atkin-Lehner |
2+ 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538l |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
1683836 = 22 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-85201,-9607863] |
[a1,a2,a3,a4,a6] |
j |
1395949388691507433/34364 |
j-invariant |
L |
4.4710311804905 |
L(r)(E,1)/r! |
Ω |
0.27943945006925 |
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 |
76538c1 |
Quadratic twists by: -7 |