Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150bj |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-64963870720000 = -1 · 220 · 54 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 5 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9625,-131275] |
[a1,a2,a3,a4,a6] |
Generators |
[1290:17275:27] |
Generators of the group modulo torsion |
j |
545855338775/359661568 |
j-invariant |
L |
7.4946942521405 |
L(r)(E,1)/r! |
Ω |
0.35346668339727 |
Real period |
R |
1.1779664724328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150bt1 101150bf1 |
Quadratic twists by: 5 17 |