Atkin-Lehner |
3- 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45747j |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1969258345587 = 318 · 13 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-244121,-46364250] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:149:1] [3975440:100840785:4096] |
Generators of the group modulo torsion |
j |
2207038640990261833/2701314603 |
j-invariant |
L |
5.2654195100073 |
L(r)(E,1)/r! |
Ω |
0.21478227614496 |
Real period |
R |
24.515149036095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15249d3 |
Quadratic twists by: -3 |