Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37975k |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1642571504556171875 = 57 · 714 · 31 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1073942,-423640659] |
[a1,a2,a3,a4,a6] |
Generators |
[-5712363432:-13827836557:10077696] |
Generators of the group modulo torsion |
j |
74517479217441/893544155 |
j-invariant |
L |
4.9834066454414 |
L(r)(E,1)/r! |
Ω |
0.14841205796739 |
Real period |
R |
16.789089490743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7595e3 5425e4 |
Quadratic twists by: 5 -7 |