Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912g |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-201671092224 = -1 · 211 · 33 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 5 -1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1584,-31968] |
[a1,a2,a3,a4,a6] |
j |
-1825346/837 |
j-invariant |
L |
2.9614740015882 |
L(r)(E,1)/r! |
Ω |
0.37018425046555 |
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 |
36456bc1 1488g1 |
Quadratic twists by: -4 -7 |