Atkin-Lehner |
2+ 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
29394a |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
380357322712547328 = 226 · 38 · 233 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-235701,-32490315] |
[a1,a2,a3,a4,a6] |
j |
1986467643827048017/521752157356032 |
j-invariant |
L |
1.7672269136693 |
L(r)(E,1)/r! |
Ω |
0.22090336420858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798l1 |
Quadratic twists by: -3 |