Atkin-Lehner |
2+ 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218a |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-8218704703613184 = -1 · 28 · 34 · 118 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11- 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1089728,-438326016] |
[a1,a2,a3,a4,a6] |
j |
-667632060126889/38340864 |
j-invariant |
L |
1.7731673461966 |
L(r)(E,1)/r! |
Ω |
0.073881972758172 |
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 |
93654bi1 31218n1 |
Quadratic twists by: -3 -11 |