Atkin-Lehner |
2+ 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270bc |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6482900191716000 = 25 · 310 · 53 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183159,29967165] |
[a1,a2,a3,a4,a6] |
Generators |
[141:2562:1] |
Generators of the group modulo torsion |
j |
932142498189288049/8892867204000 |
j-invariant |
L |
3.90209202674 |
L(r)(E,1)/r! |
Ω |
0.42457239712846 |
Real period |
R |
0.38294333046724 |
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 |
12090bd2 |
Quadratic twists by: -3 |