Atkin-Lehner |
3- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395r |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
208896933984375 = 3 · 58 · 72 · 13 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17080,-506023] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:553:1] |
Generators of the group modulo torsion |
j |
551047327387240321/208896933984375 |
j-invariant |
L |
5.017252121409 |
L(r)(E,1)/r! |
Ω |
0.43112623561261 |
Real period |
R |
1.4546934595269 |
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 |
94185s3 |
Quadratic twists by: -3 |