Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288c |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2899162008365515776 = 210 · 38 · 138 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-504352,-110716100] |
[a1,a2,a3,a4,a6] |
Generators |
[282250:53004315:8] |
Generators of the group modulo torsion |
j |
2870554156708/586559961 |
j-invariant |
L |
3.3813185858897 |
L(r)(E,1)/r! |
Ω |
0.18172089070775 |
Real period |
R |
9.3036044456448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037202 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7176l2 |
Quadratic twists by: 13 |