Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ew |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1125018562500 = 22 · 32 · 56 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,-43219] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:1281:8] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
7.5485334139971 |
L(r)(E,1)/r! |
Ω |
0.65849604357862 |
Real period |
R |
2.865823347975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998x1 2550bd1 |
Quadratic twists by: 5 -7 |