Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290h |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1730030808166753400 = 23 · 52 · 79 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1818350,942096700] |
[a1,a2,a3,a4,a6] |
Generators |
[-855:43685:1] |
Generators of the group modulo torsion |
j |
9300746727/24200 |
j-invariant |
L |
3.3151487034029 |
L(r)(E,1)/r! |
Ω |
0.26608381135456 |
Real period |
R |
3.1147598629625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59290bp2 5390z2 |
Quadratic twists by: -7 -11 |