Atkin-Lehner |
3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893a |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
260495775835320987 = 39 · 132 · 238 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165147,-7976386] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:3984:1] |
Generators of the group modulo torsion |
j |
170953875/89401 |
j-invariant |
L |
4.9274113182115 |
L(r)(E,1)/r! |
Ω |
0.25093113145436 |
Real period |
R |
4.9091271466657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61893b2 2691a2 |
Quadratic twists by: -3 -23 |