Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675s |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-1635443646046875 = -1 · 36 · 56 · 7 · 295 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -2 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-483825,129547656] |
[a1,a2,a3,a4,a6] |
Generators |
[675:10512:1] |
Generators of the group modulo torsion |
j |
-1099616058781696/143578043 |
j-invariant |
L |
2.3695086366259 |
L(r)(E,1)/r! |
Ω |
0.45668113807103 |
Real period |
R |
0.5188540622943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5075c2 1827e2 |
Quadratic twists by: -3 5 |