Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
966b |
Isogeny class |
Conductor |
966 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
-85501108224 = -1 · 213 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 4 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5131,-144323] |
[a1,a2,a3,a4,a6] |
j |
-14943832855786297/85501108224 |
j-invariant |
L |
1.4097090485778 |
L(r)(E,1)/r! |
Ω |
0.28194180971557 |
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 |
7728s1 30912ba1 2898u1 24150ci1 |
Quadratic twists by: -4 8 -3 5 |