Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464bd |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
431115939072 = 28 · 32 · 7 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26013,1623249] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1794:1] [5:1222:1] |
Generators of the group modulo torsion |
j |
7604519271424000/1684046637 |
j-invariant |
L |
9.343109220507 |
L(r)(E,1)/r! |
Ω |
0.91678417509164 |
Real period |
R |
0.28308823247585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25116j2 |
Quadratic twists by: -4 |