Atkin-Lehner |
2+ 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350h |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-104064814816875000 = -1 · 23 · 33 · 57 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,103100,8905000] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1901:1] [-25:2525:1] |
Generators of the group modulo torsion |
j |
7756630438076351/6660148148280 |
j-invariant |
L |
6.887702145211 |
L(r)(E,1)/r! |
Ω |
0.21772590551402 |
Real period |
R |
5.2724564616802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470bb2 |
Quadratic twists by: 5 |