Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950m |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11616445312500 = 22 · 3 · 510 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9650,-330000] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:95:1] [-50:200:1] |
Generators of the group modulo torsion |
j |
18546494023/2167500 |
j-invariant |
L |
8.2429522779788 |
L(r)(E,1)/r! |
Ω |
0.48535711049481 |
Real period |
R |
2.1229091178626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999947441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990ca2 124950db2 |
Quadratic twists by: 5 -7 |