Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834x |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
214194157346613312 = 26 · 37 · 1110 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-286228,54453653] |
[a1,a2,a3,a4,a6] |
j |
1463875168353625/120907017792 |
j-invariant |
L |
1.8499363587324 |
L(r)(E,1)/r! |
Ω |
0.30832272641471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502l1 3894b1 |
Quadratic twists by: -3 -11 |