Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
17220b |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
94209741435600 = 24 · 35 · 52 · 73 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24981,-1437894] |
[a1,a2,a3,a4,a6] |
Generators |
[3098:54735:8] |
Generators of the group modulo torsion |
j |
107758260588642304/5888108839725 |
j-invariant |
L |
3.0212823226418 |
L(r)(E,1)/r! |
Ω |
0.38104078925444 |
Real period |
R |
3.9645129968282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880cl1 51660k1 86100bf1 120540bj1 |
Quadratic twists by: -4 -3 5 -7 |