Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29200i |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
46720000000000 = 216 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 6 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379675,-90045750] |
[a1,a2,a3,a4,a6] |
j |
94575738893481/730000 |
j-invariant |
L |
3.4619377983132 |
L(r)(E,1)/r! |
Ω |
0.19232987768407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3650i1 116800bm1 5840k1 |
Quadratic twists by: -4 8 5 |