Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370m |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3055434080400000 = 27 · 38 · 55 · 132 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2131513,1197607388] |
[a1,a2,a3,a4,a6] |
Generators |
[904:-3565:1] |
Generators of the group modulo torsion |
j |
1070994835091049039217801/3055434080400000 |
j-invariant |
L |
5.383886146347 |
L(r)(E,1)/r! |
Ω |
0.39125597674245 |
Real period |
R |
0.34401302896205 |
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 |
97110ce2 |
Quadratic twists by: -3 |