Atkin-Lehner |
3- 5+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42315d |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
32632941875625 = 38 · 54 · 72 · 132 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10056,-274905] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:366:1] |
Generators of the group modulo torsion |
j |
112461068481648769/32632941875625 |
j-invariant |
L |
3.3879090854306 |
L(r)(E,1)/r! |
Ω |
0.48733364746071 |
Real period |
R |
0.8689911683426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126945p2 |
Quadratic twists by: -3 |