Atkin-Lehner |
3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675bc |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.6615503009644E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-506817,797237716] |
[a1,a2,a3,a4,a6] |
Generators |
[46766590:-2399844851:17576] |
Generators of the group modulo torsion |
j |
-1263950777455561/23366148046875 |
j-invariant |
L |
6.1997443098429 |
L(r)(E,1)/r! |
Ω |
0.1468788171228 |
Real period |
R |
10.552482021886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225a3 14535e4 |
Quadratic twists by: -3 5 |