Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ec |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2057529600000000 = 214 · 38 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32700,-646000] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:700:1] [-146:1008:1] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
11.185126440058 |
L(r)(E,1)/r! |
Ω |
0.3772087220539 |
Real period |
R |
3.7065442110318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800ns2 12600bv2 33600j2 20160bu2 |
Quadratic twists by: -4 8 -3 5 |