Atkin-Lehner |
2+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
25280k |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
20224000000 = 214 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1852,-29904] |
[a1,a2,a3,a4,a6] |
Generators |
[52:120:1] |
Generators of the group modulo torsion |
j |
42877229904/1234375 |
j-invariant |
L |
5.04276925818 |
L(r)(E,1)/r! |
Ω |
0.72904364750161 |
Real period |
R |
2.3056549382474 |
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 |
25280x2 1580a2 126400p2 |
Quadratic twists by: -4 8 5 |