Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960l |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1279509111552000 = 211 · 3 · 53 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-782056,266453356] |
[a1,a2,a3,a4,a6] |
Generators |
[513:34:1] |
Generators of the group modulo torsion |
j |
219543018997682/5310375 |
j-invariant |
L |
3.8965544786005 |
L(r)(E,1)/r! |
Ω |
0.44810055076924 |
Real period |
R |
4.3478572644466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280v2 |
Quadratic twists by: -7 |