Atkin-Lehner |
2- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270u |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
1896790515942500 = 22 · 54 · 177 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-72256,-7182180] |
[a1,a2,a3,a4,a6] |
j |
1728432036001/78582500 |
j-invariant |
L |
2.336097850173 |
L(r)(E,1)/r! |
Ω |
0.29201246891334 |
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 |
7310l1 |
Quadratic twists by: 17 |