Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450dm |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4251692025000000 = 26 · 38 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65480,5651147] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:2895:1] |
Generators of the group modulo torsion |
j |
2725812332209/373262400 |
j-invariant |
L |
11.151298577384 |
L(r)(E,1)/r! |
Ω |
0.42102086832447 |
Real period |
R |
1.103597174646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994496 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24150bd2 14490be2 |
Quadratic twists by: -3 5 |