Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4641d |
Isogeny class |
Conductor |
4641 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-102626433 = -1 · 36 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39,481] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:21:1] |
Generators of the group modulo torsion |
j |
6804992375/102626433 |
j-invariant |
L |
5.2540808388418 |
L(r)(E,1)/r! |
Ω |
1.4016254226033 |
Real period |
R |
0.62476045717014 |
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 |
74256ce2 13923j2 116025l2 32487f2 |
Quadratic twists by: -4 -3 5 -7 |